A team has finished a game with 5-11-5 runs-hits-errors line 48 times since 1897, most recently Washington Nationals on 28 June 2011. That is about one every 9,229 team-games.
Box score for the most recent one ↗
5-10-7 5-10-8 5-10-9 5-11-2 5-11-1 5-11-3 5-11-5 5-11-4 5-11-0 5-11-6 5-11-7 5-11-9 5-11-8
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes