A319
Flight Crew Air Transport Pilot (ATP); Flight Crew Multiengine; Flight Crew Instrument
Distraction
Deviation - Altitude Crossing Restriction Not Met; Deviation - Altitude Overshoot; Deviation / Discrepancy - Procedural Clearance
Human Factors
After the FO's (First Officer) takeoff; we switched to Departure Control. I checked in 'out of 2;000 climbing to 16;000' (the limit of the SID) Departure Control said roger and gave us a turn north. We climbed all the way to 16;000 ft. uneventfully (no TCAS alert). At altitude we were told to phone ZZZ Approach. I was informed our clearance limit was only 4;000 ft. and there might have been a deviation.Being new to the airplane and having flown 9 out of the last 11 days is no excuse for something as basic as getting your clearance correct. Even though I have under 200 hours in the airplane; I've been a Captain for over 20 years. Getting the clearance correct is basic stuff and I just dropped the ball.
After takeoff the Captain switched to and checked in with Departure control 'out of 2;000 climbing 16;000' the climb limit on the SID (Standard Instrument Departure). Departure control told us that they had radar contact and assigned a heading of 360. We climbed on all the way to 16;000 ft uneventfully (without any TCAS (Traffic Collision Avoidance System) alerts). After reaching cruse altitude quite a while later we were given a phone number to call ZZZ approach. We were unaware of what the issue was at that time. The Captain called the number and was told our clearance limit was only 4;000 ft and there might have been a deviation.I recently returned from a three month leave of absence and we were performing multiple short legs and shorter turnaround times. The Captain is new on the Airbus. The PDC (Pre-Departure Clearance) had a lot of additional text information surrounding the critical information about the climb via departure information. There was some weather buildups surrounding the airport. Expectation bias regarding the SID. Unfamiliar with the airport and their common operations. [Suggest that] Program FMS (Flight management System) to print revised segments and/or EXC MAINTAIN ALTITUDE IN BOLD or printed in bigger font than other text on PDC. This would make it easier to identify. Better vigilance and attention to detail while reviewing information on PDC. More attention to detail by the air traffic controller when aircraft are checking in with current altitude and altitude climbing to.
A319 Flight Crew reported excursion from assigned altitude after departure.