A team has finished a game with 6-3-2 runs-hits-errors line 5 times since 1897, most recently New York Yankees on 3 August 1990. That is about one every 88,600 team-games.
Box score for the most recent one ↗
6-1-3 6-1-0 6-2-0 6-2-1 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
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes