A team has finished a game with 4-16-3 runs-hits-errors line 12 times since 1897, most recently Cleveland Guardians on 26 May 2005. That is about one every 36,917 team-games.
Box score for the most recent one ↗
4-15-1 4-15-3 4-15-4 4-15-0 4-16-1 4-16-2 4-16-3 4-16-4 4-16-0 4-16-5 4-16-6 4-17-1 4-17-2
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes