Commercial Fixed Wing
Flight Crew Flight Engineer; Flight Crew Air Transport Pilot (ATP); Flight Crew Instrument
Flight Crew Last 90 Days 171; Flight Crew Total 13282; Flight Crew Type 3654
Deviation - Altitude Overshoot; Deviation / Discrepancy - Procedural Clearance
Air Traffic Control Issued Advisory / Alert; Flight Crew Returned To Clearance
Human Factors; Environment - Non Weather Related
We were on Departure out of ZZZ on the ZZZ 4 from Runway XXR W intersection.  The flying FO executed TO and initial left turn and then the subsequent right turn to 220 and started the level off at 2;500.  ATC then issued climb to 6;000.  Followed shortly by an additional right turn.  The Captain changed the heading bug at about the time he would normally have called for 5 for 6 for level off.  We were at high rate of climb and the flying FO started the level off late and ballooned through 6;000 feet to approx 6;400-6;500 feet and quickly corrected back to 6000.
I was the pilot flying on Aircraft X; ZZZ-ZZZZ. We were cleared on the ZZZ4 Departure; maintain 2;500 feet. I was hand flying the departure.  We were cleared to a new heading of 050 and altitude of 6;000 feet. I turned to the new heading as I continued to climb to our cleared altitude of 6;000 feet. While in the turn; I realized I had passed 6;000 feet and the altitude box turned yellow.  I immediately stopped climbing and descended back to 6;000 feet. The highest altitude was 6;380 feet. ATC commented to us to maintain 6;000 feet. There were no other issues regarding the altitude deviation.Other issues:At about 30 minutes from departure; we had an issue regarding deadheading flight attendants that were exposed to a COVID-19 positive flight attendant on their crew. We had an extensive discussion with the company representatives from Flight Operations; Dispatch; Medlink; and Inflight Services. This situation was very distracting to the pre-flight planning and the subsequent departure.I believe it was an influence in my altitude deviation.I deviated from the altitude clearance of 6;000 feet. I allowed the aircraft to reach an altitude of 6;380 feet.
Air carrier flight crew reported an altitude deviation during departure.