A corporate pilot reported climbing above their assigned altitude after deviating for weather.

Narrative:

After departure we were cleared to 11;000 feet. Departure advised us of heavy precipitation ahead and said deviations left or right are authorized. We looked at the radar and captain decided to go west. We notified departure that we are deviating to the west. Departure came back and asked if we were planning to fly west around the storm and said the weather was better to the east. We discussed this and after looking at the radar again we requested a turn to the east. We were instructed to turn left to a 080 heading. We turned left to 080 and continued the climb. We were handed off to center and checked on with heading and climbing to 11;000 feet. After reaching 11;000 feet; center said that we were supposed to stop at 10;000 feet. I said I thought we were cleared to 11;000 feet. They responded to remain at 11;000 feet. Shortly after that; we were cleared to our final altitude of 13;000 feet. We must have missed the altitude change during the change from west to east weather deviation. I believe the cause was being distracted by the weather in the area we missed setting up the altitude change on the autopilot. To prevent this in the future; I must focus on fully understanding ATC clearance and if necessary write it down in busy or distracting situations.

Original NASA ASRS Text

Title: A corporate pilot reported climbing above their assigned altitude after deviating for weather.

Narrative: After departure we were cleared to 11;000 feet. Departure advised us of heavy precipitation ahead and said deviations left or right are authorized. We looked at the radar and Captain decided to go west. We notified departure that we are deviating to the west. Departure came back and asked if we were planning to fly west around the storm and said the weather was better to the east. We discussed this and after looking at the radar again we requested a turn to the East. We were instructed to turn left to a 080 heading. We turned left to 080 and continued the climb. We were handed off to Center and checked on with heading and climbing to 11;000 feet. After reaching 11;000 feet; Center said that we were supposed to stop at 10;000 feet. I said I thought we were cleared to 11;000 feet. They responded to remain at 11;000 feet. Shortly after that; we were cleared to our final altitude of 13;000 feet. We must have missed the altitude change during the change from west to east weather deviation. I believe the cause was being distracted by the weather in the area we missed setting up the altitude change on the autopilot. To prevent this in the future; I must focus on fully understanding ATC clearance and if necessary write it down in busy or distracting situations.

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.

Attributes
ACN	1642798
Time
Date	201905
Local Time Of Day	0601-1200
Place
Locale Reference	HKS.Airport
State Reference	MS
Environment
Flight Conditions	IMC
Light	Daylight
Aircraft 1
Make Model Name	Citation V/Ultra/Encore (C560)
Operating Under FAR Part	Part 91
Flight Phase	Climb
Route In Use	Vectors
Flight Plan	IFR
Person 1
Function	First Officer
Qualification	Flight Crew Instrument Flight Crew Multiengine Flight Crew Air Transport Pilot (ATP) Flight Crew Flight Instructor
Experience	Flight Crew Last 90 Days 66 Flight Crew Total 2757 Flight Crew Type 58
Events
Anomaly	ATC Issue All Types Deviation - Altitude Overshoot Deviation - Procedural Clearance