A team has finished a game with 7-20-0 runs-hits-errors line 6 times since 1897, most recently Baltimore Orioles on 10 May 2011. That is about one every 73,834 team-games.
Box score for the most recent one ↗
7-18-2 7-19-1 7-19-0 7-19-2 7-19-3 7-20-1 7-20-0 7-20-2 7-21-2 7-21-1 7-21-0 7-22-4 7-22-1
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes