A team has finished a game with 5-15-3 runs-hits-errors line 37 times since 1897, most recently Boston Red Sox on 15 April 2001. That is about one every 11,973 team-games.
Box score for the most recent one ↗
5-14-5 5-14-6 5-15-4 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
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes