A team has finished a game with 6-16-5 runs-hits-errors line 5 times since 1897, most recently Cincinnati Reds on 24 June 1982. That is about one every 88,600 team-games.
Box score for the most recent one ↗
6-15-0 6-15-5 6-15-7 6-16-3 6-16-1 6-16-2 6-16-5 6-16-0 6-16-4 6-16-6 6-17-2 6-17-3 6-17-1
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes