A team has finished a game with 6-9-6 runs-hits-errors line 25 times since 1897, most recently New York Mets on 1 September 2014. That is about one every 17,720 team-games.
Box score for the most recent one ↗
6-8-4 6-8-0 6-8-2 6-8-7 6-8-6 6-9-2 6-9-6 6-9-3 6-9-1 6-9-5 6-9-4 6-9-8 6-9-0
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes