A team has finished a game with 8-13 singles and extra-base hits 6 times since 1897, most recently Milwaukee Brewers on 9 September 2020. That is about one every 73,834 team-games.
Box score for the most recent one ↗
8-7 8-8 8-9 8-10 8-11 8-12 8-13 8-14 9-3 9-4 9-5 9-6 9-7
The whole distribution — Singles and Extra-Base Hits · All 18 shapes