A team has finished a game with 5-13-3 runs-hits-errors line 161 times since 1897, most recently Houston Astros on 9 May 2013. That is about one every 2,751 team-games.
Box score for the most recent one ↗
5-12-8 5-13-2 5-13-8 5-13-1 5-13-4 5-13-6 5-13-3 5-13-0 5-13-5 5-13-10 5-13-7 5-14-3 5-14-2
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes