A team has finished a game with 6-3-3 runs-hits-errors line 1 time since 1897, most recently New York Yankees on 2 June 2004. That is about one every 443,004 team-games.
Box score for the most recent one ↗
6-2-3 6-2-2 6-3-2 6-3-1 6-3-4 6-3-0 6-3-3 6-4-7 6-4-1 6-4-2 6-4-4 6-4-3 6-4-0
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes