A team has finished a game with 5-7-6 runs-hits-errors line 19 times since 1897, most recently LCB on 10 August 1949. That is about one every 23,316 team-games.
Box score for the most recent one ↗
5-6-4 5-6-7 5-7-2 5-7-0 5-7-5 5-7-1 5-7-6 5-7-3 5-7-4 5-7-7 5-7-8 5-8-4 5-8-1
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes