Captain reported updrafts in weather resulted in overshooting altitude.

Attributes
ACN	1672084
Time
Date	201908
Local Time Of Day	1201-1800
Place
Locale Reference	D10.TRACON
State Reference	TX
Environment
Light	Daylight
Aircraft 1
Make Model Name	Learjet 45
Operating Under FAR Part	Part 91
Flight Phase	Initial Climb
Flight Plan	IFR
Person 1
Function	Captain
Qualification	Flight Crew Multiengine Flight Crew Air Transport Pilot (ATP) Flight Crew Flight Instructor Flight Crew Instrument
Experience	Flight Crew Last 90 Days 100 Flight Crew Total 12500 Flight Crew Type 2000
Events
Anomaly	Deviation - Altitude Excursion From Assigned Altitude Inflight Event / Encounter Loss Of Aircraft Control Inflight Event / Encounter Weather / Turbulence

Narrative:

During the initial climb of our departure; it was apparent that the towering cumulonimbus was going to be a factor for the SID that was issued. We asked for; and received a heading. We wanted a climb to attempt to avoid the clouds due to the expected turbulence. During the turn and initial level off; we entered into a cumulonimbus type cloud with moderate turbulence and updrafts. During this time; we couldn't level off at our assigned altitude and reached a max of 10500 ft. We immediately lowered the nose and descended back to our assigned altitude. We received no TCAS tas or ras. No further issues were experienced.

Original NASA ASRS Text

Title: Captain reported updrafts in weather resulted in overshooting altitude.

Narrative: During the initial climb of our departure; it was apparent that the towering cumulonimbus was going to be a factor for the SID that was issued. We asked for; and received a heading. We wanted a climb to attempt to avoid the clouds due to the expected turbulence. During the turn and initial level off; we entered into a cumulonimbus type cloud with moderate turbulence and updrafts. During this time; we couldn't level off at our assigned altitude and reached a max of 10500 ft. We immediately lowered the nose and descended back to our assigned altitude. We received NO TCAS TAs or RAs. No further issues were experienced.

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.