A team has finished a game with 3-16-3 runs-hits-errors line 3 times since 1897, most recently Washington Senators on 4 June 1971. That is about one every 147,668 team-games.
Box score for the most recent one ↗
3-15-3 3-15-5 3-16-2 3-16-0 3-16-1 3-16-4 3-16-3 3-16-5 3-17-1 3-17-0 3-17-2 3-18-0 3-19-4
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes