A team has finished a game with 0-13-3 runs-hits-errors line 2 times since 1897, most recently California Angels on 27 August 1976. That is about one every 221,502 team-games.
Box score for the most recent one ↗
0-12-2 0-12-0 0-12-1 0-13-2 0-13-0 0-13-1 0-13-3 0-14-0 0-14-2 0-14-3 0-15-4 0-15-1 0-15-0
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes