A team has finished a game with 3-14-4 runs-hits-errors line 7 times since 1897, most recently Houston Astros on 7 July 1985. That is about one every 63,286 team-games.
Box score for the most recent one ↗
3-13-5 3-14-1 3-14-3 3-14-2 3-14-5 3-14-0 3-14-4 3-14-7 3-15-4 3-15-2 3-15-1 3-15-0 3-15-3
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes