A team has finished a game with 5-12-4 runs-hits-errors line 95 times since 1897, most recently Chicago Cubs on 20 May 2011. That is about one every 4,663 team-games.
Box score for the most recent one ↗
5-11-4 5-11-0 5-11-6 5-11-7 5-11-9 5-11-8 5-12-4 5-12-6 5-12-2 5-12-1 5-12-3 5-12-0 5-12-5
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes