A team has finished a game with 10-5-0 runs-hits-errors line 2 times since 1897, most recently Seattle Mariners on 30 July 2000. That is about one every 221,502 team-games.
Box score for the most recent one ↗
10-1-0 10-2-1 10-3-0 10-4-2 10-4-1 10-5-1 10-5-0 10-6-2 10-6-1 10-6-4 10-6-0 10-7-2 10-7-4
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes