A team has finished a game with 5-10-8 runs-hits-errors line 3 times since 1897, most recently Chicago Cubs on 16 April 1912. That is about one every 147,668 team-games.
Box score for the most recent one ↗
5-10-1 5-10-0 5-10-6 5-10-5 5-10-4 5-10-7 5-10-8 5-10-9 5-11-2 5-11-1 5-11-3 5-11-5 5-11-4
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes