A team has finished a game with 17-5 singles and extra-base hits 46 times since 1897, most recently New York Mets on 17 June 2024. That is about one every 9,630 team-games.
Box score for the most recent one ↗
16-12 17-0 17-1 17-2 17-3 17-4 17-5 17-6 17-7 17-8 17-9 17-10 17-11
The whole distribution — Singles and Extra-Base Hits · All 18 shapes