TBM 900 pilot reported PFD #1 and PFD #2 began to display conflicting information in climb. The autopilot automatically turned on and the aircraft was hard to control. The pilot diverted to the nearest suitable airport.

Narrative

On Day 0; I departed ZZZ for ZZZ1. Conditions MVFR with moderate Rain. The flight was normal to 29;500 ft. AGL when the Primary Flight Display (PFD) began reporting conflicting information with the #2 PFD and the aircraft would not climb. I turned off the Autopilot and Autothrottle and hand flew the aircraft with a nose up attitude. ATC said I was not climbing and my #1 PFD confirmed that. PFD #2 had a different reading. The Autopilot turned on automatically and the aircraft was hard to control as it was getting bad input. Priority handling was requested and I diverted to ZZZ2. I called Company Avionics technician who checked with Person A who read the data and grounded the aircraft. I took a commercial flight home. Company/Factory dispatched Maintenance Crew who determined possible ice in the static line. Video footage shows that the static plugs were inserted in the aircraft. The static lines were cleared with nitrogen and the aircraft was checked out and cleared for flight. The Company/Factory Technicians returned the aircraft to ZZZ1 on Day 3.