A team has finished a game with 5-16-5 runs-hits-errors line 3 times since 1897, most recently San Francisco Giants on 24 July 1979. That is about one every 147,668 team-games.
Box score for the most recent one ↗
5-16-0 5-16-3 5-16-2 5-16-1 5-16-4 5-16-7 5-16-5 5-17-1 5-17-4 5-17-3 5-17-0 5-17-6 5-17-2
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes