A team has finished a game with 6-5-5 runs-hits-errors line 4 times since 1897, most recently Chicago American Giants on 2 July 1942. That is about one every 110,751 team-games.
Box score for the most recent one ↗
6-4-3 6-4-0 6-4-5 6-5-2 6-5-1 6-5-3 6-5-5 6-5-0 6-5-6 6-5-4 6-5-8 6-6-1 6-6-3
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes