A team has finished a game with 0-3-4 runs-hits-errors line 93 times since 1897, most recently San Diego Padres on 26 April 2014. That is about one every 4,763 team-games.
Box score for the most recent one ↗
0-2-5 0-2-6 0-2-4 0-2-7 0-3-1 0-3-0 0-3-4 0-3-3 0-3-2 0-3-6 0-3-5 0-3-7 0-3-8
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes