A team has finished a game with 14-1 singles and extra-base hits 466 times since 1897, most recently Kansas City Royals on 15 August 2023. That is about one every 950 team-games.
Box score for the most recent one ↗
13-11 13-12 13-13 13-14 13-15 14-0 14-1 14-2 14-3 14-4 14-5 14-6 14-7
The whole distribution — Singles and Extra-Base Hits · All 18 shapes