5 quarterbacks are tied for the most passing touchdowns in a game with 2+ rushing touchdowns, with 4 touchdowns. The first three are Aaron Rodgers on October 2, 2011, Michael Vick on November 15, 2010 and Jeff Garcia on December 7, 2003.

most pass td in a game by a player with 2 rush tds
Interpreted as:
most pass td in a regular-season game by a player with 2 or more rush tds

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