Learjet 45
Flight Crew Multiengine; Flight Crew Air Transport Pilot (ATP); Flight Crew Flight Instructor; Flight Crew Instrument
Flight Crew Last 90 Days 100; Flight Crew Total 12500; Flight Crew Type 2000
Situational Awareness
Deviation - Altitude Excursion From Assigned Altitude; Inflight Event / Encounter Loss Of Aircraft Control; Inflight Event / Encounter Weather / Turbulence
Flight Crew Regained Aircraft Control; Flight Crew Returned To Clearance
Weather
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.
Captain reported updrafts in weather resulted in overshooting altitude.