A team has finished a game with 6-7-6 runs-hits-errors line 4 times since 1897, most recently Detroit Tigers on 17 September 1916. That is about one every 110,751 team-games.
Box score for the most recent one ↗
6-6-5 6-7-2 6-7-1 6-7-4 6-7-3 6-7-0 6-7-6 6-7-5 6-7-7 6-7-8 6-8-1 6-8-5 6-8-8
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes