A team has finished a game with 5-6-7 runs-hits-errors line 3 times since 1897, most recently Kansas City Monarchs on 4 August 1949. That is about one every 147,668 team-games.
Box score for the most recent one ↗
5-6-6 5-6-0 5-6-2 5-6-5 5-6-3 5-6-4 5-6-7 5-7-2 5-7-0 5-7-5 5-7-1 5-7-6 5-7-3
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes