A team has finished a game with 10-12 singles and extra-base hits 8 times since 1897, most recently Milwaukee Brewers on 12 August 2021. That is about one every 55,375 team-games.
Box score for the most recent one ↗
10-6 10-7 10-8 10-9 10-10 10-11 10-12 11-1 11-2 11-3 11-4 11-5 11-6
The whole distribution — Singles and Extra-Base Hits · All 18 shapes