A team has finished a game with 6-19-0 runs-hits-errors line 2 times since 1897, most recently San Francisco Giants on 22 May 1981. That is about one every 221,502 team-games.
Box score for the most recent one ↗
6-18-6 6-18-4 6-19-1 6-19-2 6-19-3 6-19-6 6-19-0 6-19-4 6-20-2 6-20-3 6-20-1 6-21-1 6-21-3
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes