A team has finished a game with 3-16-0 runs-hits-errors line 15 times since 1897, most recently St. Louis Cardinals on 2 September 2015. That is about one every 29,533 team-games.
Box score for the most recent one ↗
3-15-2 3-15-1 3-15-0 3-15-3 3-15-5 3-16-2 3-16-0 3-16-1 3-16-4 3-16-3 3-16-5 3-17-1 3-17-0
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes