A team has finished a game with 0-4-6 runs-hits-errors line 17 times since 1897, most recently Kansas City Royals on 21 July 1976. That is about one every 26,059 team-games.
Box score for the most recent one ↗
0-4-1 0-4-3 0-4-2 0-4-0 0-4-5 0-4-8 0-4-6 0-4-4 0-4-7 0-5-2 0-5-3 0-5-0 0-5-4
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes