A team has finished a game with 6-5-4 runs-hits-errors line 9 times since 1897, most recently Chicago White Sox on 2 July 2017. That is about one every 49,222 team-games.
Box score for the most recent one ↗
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 6-6-0 6-6-2 6-6-4
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes