The most points is 32 by the Buffalo Bills in a 1992 season playoff game (played January 3, 1993) against the Houston Oilers.
The Oilers led, 28-3, at the half and then 35-3 when they returned an interception for a TD with 13:19 left in the 3rd quarter. The Bills then scored 5 straight TDs to take a 38-35 lead. Houston kicked a field goal at the end of the 4th quarter to send the game into overtime where the Bills kicked a field goal to win 41-38.
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