A team has finished a game with 10-12-5 runs-hits-errors line 15 times since 1897, most recently Atlanta Braves on 23 May 1991. That is about one every 29,533 team-games.
Box score for the most recent one ↗
10-12-7 10-12-1 10-12-3 10-12-9 10-12-0 10-12-4 10-12-5 10-12-6 10-13-1 10-13-2 10-13-0 10-13-4 10-13-3
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes