Banuelos retired his first eight batters before Christian Vazquez opened Boston's two-out rally with a single. Xander Bogaerts, Michael Chavis and Eduardo Nunez each homered, Mookie Betts and J.D. Martinez had RBI doubles, and Vazquez capped the streak with another single before White Sox manager Rick Renteria pulled Banuelos with a 9-1 deficit.
Carson Fulmer replaced Banuelos and interrupted the hit parade by walking Andrew Benintendi. Betts flew out to right to end the inning after 14 batters.
The Red Sox won Saturday's game 15-2.
The Colorado Rockies had a major league-record 11 straight hits during a 17-2 victory over the Chicago Cubs at Coors Field in Denver on July 30, 2010.
Boston went on to score five runs in the fourth and one run in the fifth to take a 15-1 lead.
The Associated Press contributed to this report.
Red Sox score 9 with 2 outs in the third
Mookie Betts kicks off Boston's scoring spree with a 2-run double and Eduardo Nunez caps it off with a 2-run HR off of White Sox pitcher Manny Banuelos.