A team has finished a game with 15-0 singles and extra-base hits 163 times since 1897, most recently St. Louis Cardinals on 28 April 2022. That is about one every 2,717 team-games.
Box score for the most recent one ↗
14-9 14-10 14-11 14-12 14-13 14-14 15-0 15-1 15-2 15-3 15-4 15-5 15-6
The whole distribution — Singles and Extra-Base Hits · All 18 shapes