A team has finished a game with 16-16-4 runs-hits-errors line 3 times since 1897, most recently Boston Braves on 2 June 1934. That is about one every 147,668 team-games.
Box score for the most recent one ↗
16-15-4 16-15-0 16-15-2 16-15-1 16-16-1 16-16-2 16-16-4 16-16-6 16-16-0 16-16-3 16-17-3 16-17-1 16-17-2
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes