Colin Kaepernick has the most rushing yards by a quarterback in a regular-season or postseason game, with 181 yards in the 2012 NFC divisional game against the Packers on January 12, 2013.

most rushing yards by a qb in any game
1/12/2013Kaepernick11/6/2022Fields12/1/2002Vick11/26/2006Vick10/13/2019Jackson12/20/2014Kaepernick11/18/1951Rote12/16/1951Trippi1/11/2020Jackson12/7/2003Vick10/14/2012Griffin1/10/2021Jackson12/2/2018Allen10/8/1961Kilmer11/22/1951Rote11/19/1944Davis1/19/2014Kaepernick12/19/2010Vick12/4/1966Concannon11/3/1935Shepherd9/17/2006Vick12/17/1972Douglass181178173166152151150145143141138136135131131131130130129129127127
Results may be incomplete. StatMuse has complete game-level data for rushing yards going back to the 1960 season.