Flight Crew Air Transport Pilot (ATP); Flight Crew Instrument; Flight Crew Multiengine
Distraction; Situational Awareness
Deviation - Altitude Overshoot; Deviation / Discrepancy - Procedural Clearance
Flight Crew Returned To Clearance
Human Factors
We had departed from EYE flying the Mario5 Departure and had been assigned 4000 ft. I was the pilot monitoring and was working the climb checklist. While silently running the checklist; I heard my FO (First Officer) say 'Whoa!' I immediately looked up and noted that we were about 300-350 ft. above our assigned level off altitude of 4000 ft. Immediately took the controls from my FO and corrected back to our assigned altitude of 4000 ft. Leading up to the event; I had been completing the climb checklist. I noted that for some reason I had not turned off the taxi/landing lights. Therefore; I went through the checklist deliberately; to ensure I had missed nothing else. It was while doing this I was heads down; and missed the 'approaching 4;000' call out. There was not any communication from the controlling facility. There was no issuance of a number of any kind. The reminder of the flight was carried out uneventfully.I would say that it was partially my being tired from min rest. However; the reality is that I was distracted by a checklist item; which I am certain contributed to this event. Further contributing was that my FO was newer and was hand flying the aircraft.
Flight crew reported overshooting altitude during climb.