A team has finished a game with 6-10 singles and extra-base hits 53 times since 1897, most recently Colorado Rockies on 15 June 2024. That is about one every 8,358 team-games.
Box score for the most recent one ↗
5-15 5-17 6-6 6-7 6-8 6-9 6-10 6-11 6-12 6-13 6-14 7-5 7-6
The whole distribution — Singles and Extra-Base Hits · All 18 shapes