A team has finished a game with 5-16-3 runs-hits-errors line 20 times since 1897, most recently Cincinnati Reds on 28 May 2018. That is about one every 22,150 team-games.
Box score for the most recent one ↗
5-15-2 5-15-3 5-15-6 5-15-7 5-15-5 5-16-0 5-16-3 5-16-2 5-16-1 5-16-4 5-16-7 5-16-5 5-17-1
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes