A team has finished a game with 9-14 singles and extra-base hits 2 times since 1897, most recently Boston Red Sox on 25 July 2019. That is about one every 221,502 team-games.
Box score for the most recent one ↗
9-8 9-9 9-10 9-11 9-12 9-13 9-14 10-2 10-3 10-4 10-5 10-6 10-7
The whole distribution — Singles and Extra-Base Hits · All 18 shapes