A team has finished a game with 0-5-7 runs-hits-errors line 7 times since 1897, most recently Washington Senators on 7 July 1916. That is about one every 63,286 team-games.
Box score for the most recent one ↗
0-4-7 0-5-2 0-5-3 0-5-0 0-5-4 0-5-1 0-5-7 0-5-9 0-5-5 0-5-12 0-5-6 0-5-10 0-6-1
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes