A team has finished a game with 0-8-4 runs-hits-errors line 33 times since 1897, most recently Detroit Tigers on 31 May 1996. That is about one every 13,424 team-games.
Box score for the most recent one ↗
0-7-0 0-7-1 0-7-6 0-7-8 0-7-9 0-8-0 0-8-4 0-8-2 0-8-3 0-8-1 0-8-8 0-8-5 0-8-6
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes