A team has finished a game with 5-15-5 runs-hits-errors line 5 times since 1897, most recently Florida Marlins on 25 July 2000. That is about one every 88,600 team-games.
Box score for the most recent one ↗
5-15-0 5-15-1 5-15-2 5-15-3 5-15-6 5-15-7 5-15-5 5-16-0 5-16-3 5-16-2 5-16-1 5-16-4 5-16-7
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes