A team has finished a game with 6-16-4 runs-hits-errors line 12 times since 1897, most recently Chicago White Sox on 20 July 1980. That is about one every 36,917 team-games.
Box score for the most recent one ↗
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 6-17-4 6-17-0
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes