Since 2010, Patrick Mahomes, Ben Roethlisberger and Tom Brady are tied for the most games in the playoffs with 5+ passing touchdowns, with 1 game.

most career games with 5 passing touchdowns (including postseason) since 2010
Interpreted as:
most career games by a player with 5 or more passing touchdowns (including postseason) since 2010
Patrick MahomesPatrick MahomesAFC Divisional15233565.73219.2321.014.300.000134.6
Ben RoethlisbergerBen RoethlisbergerAFC Divisional15375863.84698.1469.08.611.727110.5
Tom BradyTom BradyAFC Divisional16263476.536310.7363.017.612.900137.6