A team has finished a game with 13-23-0 runs-hits-errors line 3 times since 1897, most recently San Diego Padres on 11 May 2011. That is about one every 147,668 team-games.
Box score for the most recent one ↗
13-22-2 13-22-3 13-22-4 13-23-3 13-23-5 13-23-1 13-23-0 13-24-3 13-24-2 13-24-0 13-26-1 13-29-2 14-1-0
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes