Narrative:

We arrived into kfxe after being re-routed on multiple occasions due to moderate to severe and intensifying thunderstorm activity over the southern peninsula of florida.we departed from kfxe under part 91 flight rules and an IFR flight plan and clearance.we were cleared for takeoff by the kfxe ATC and advised to climb and maintain 2000 ft and after departure; turn left to a heading of 330 degrees. During initial climb and in the advised left turn from runway heading to 2000; we were handed over to departure control. Departure control acknowledged the handover and instructed a climb to 3000 ft.on the radar heading of 330 degrees we were approaching an extreme thunderstorm that was circulating anti-clockwise. Penetration into this cell would have immediately compromised safety to the aircraft and the crew. The pm (pilot monitoring) requested an immediate right 360 to avoid this encounter and the controller denied the request. The pm then requested an immediate left turn at which time; the controller approved a left turn to a heading of 270 degrees. It should be noted; that due to the delay in the controllers approval for a weather avoiding radar vector; we had already penetrated the cell. Upon penetration and still in the left turn to 270 degrees the aircraft experienced violent turbulence and an updraft followed by a significant downdraft. We then were alerted to an RA instructing an immediate climb which was executed. Once the aircraft was 'clear of the conflict' we advised ATC that an RA was received and it was responded to as per safety.on the heading of 270 we eventually exited the cell and were in VFR conditions. The controller then vectored us to a left heading of 120 degrees and a speed reduction of 170 knots. On this heading we were approaching yet another intense cell with visible underlying activity; virga and lightening. The pm requested a left turn to avoid the weather and the control denied the request; rather instructing a right turn. As the PIC; I informed ATC that we were unable to accept that in striation due to weather. Whilst in the cell we experienced heavy to extreme turbulence and eventually received clearance to make a left heading out of the storm. At this point the controller advised that [our destination] was off our left and that we were cleared for the visual approach. Although in VFR conditions; there were multiple targets in the vicinity and on approach to the parallel runway; therefore the ILS approach to runway xxl was observed and the aircraft landed without incident.it is evident that south florida is a high traffic area. It is also evident that thunderstorm activity; especially this time of year causes delays and increases work load for ATC. In this particular instance; the weather was severe and intensifying and there was multiple aircraft not on IFR flight plans and not communicating with ATC. The initial cell that we made efforts and requests to avoid was the most intense and active cell that I have ever witnessed in my 19 years of flying.

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Original NASA ASRS Text

Title: Medium-Large Transport pilot reported responding to RA while being vectored near a thunderstorm.

Narrative: We arrived into KFXE after being re-routed on multiple occasions due to moderate to severe and intensifying thunderstorm activity over the Southern peninsula of Florida.We departed from KFXE under part 91 flight rules and an IFR flight plan and clearance.We were cleared for takeoff by the KFXE ATC and advised to climb and maintain 2000 ft and after departure; turn left to a heading of 330 degrees. During initial climb and in the advised left turn from runway heading to 2000; we were handed over to departure control. Departure control acknowledged the handover and instructed a climb to 3000 ft.On the radar heading of 330 degrees we were approaching an extreme thunderstorm that was circulating anti-clockwise. Penetration into this cell would have immediately compromised safety to the aircraft and the crew. The PM (Pilot Monitoring) requested an immediate RIGHT 360 to avoid this encounter and the controller denied the request. The PM then requested an immediate LEFT turn at which time; the controller approved a left turn to a heading of 270 degrees. It should be noted; that due to the delay in the controllers approval for a weather avoiding radar vector; we had already penetrated the cell. Upon penetration and still in the left turn to 270 degrees the aircraft experienced violent turbulence and an updraft followed by a significant downdraft. We then were alerted to an RA instructing an immediate climb which was executed. Once the aircraft was 'clear of the conflict' we advised ATC that an RA was received and it was responded to as per safety.On the heading of 270 we eventually exited the cell and were in VFR conditions. The controller then vectored us to a left heading of 120 degrees and a speed reduction of 170 knots. On this heading we were approaching yet another intense cell with visible underlying activity; virga and lightening. The PM requested a left turn to avoid the weather and the control denied the request; rather instructing a right turn. As the PIC; I informed ATC that we were unable to accept that in striation due to weather. Whilst in the cell we experienced heavy to extreme turbulence and eventually received clearance to make a LEFT heading out of the storm. At this point the controller advised that [our destination] was off our left and that we were cleared for the visual approach. Although in VFR conditions; there were multiple targets in the vicinity and on approach to the parallel runway; therefore the ILS approach to runway XXL was observed and the aircraft landed without incident.It is evident that South Florida is a high traffic area. It is also evident that thunderstorm activity; especially this time of year causes delays and increases work load for ATC. In this particular instance; the weather was severe and intensifying and there was multiple aircraft not on IFR flight plans and not communicating with ATC. The initial cell that we made efforts and requests to avoid was the most intense and active cell that I have ever witnessed in my 19 years of flying.

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.