The Mariners hit four consecutive doubles in an inning of their 11 – 4 victory over the Orioles, falling one shy of the major league record.

On July 29, 1991 — The Mariners hit four consecutive doubles in an inning of their 11 – 4 victory over the Orioles, falling one shy of the major league record.

Source:
Baseball Reference July 29
National Pastime
Retro Sheet
Hall of Fame
SABR Games Project
Replay The Game