A team has finished a game with 0-6-4 runs-hits-errors line 101 times since 1897, most recently Minnesota Twins on 20 September 2013. That is about one every 4,386 team-games.
Box score for the most recent one ↗
0-5-5 0-5-12 0-5-6 0-5-10 0-6-1 0-6-0 0-6-4 0-6-3 0-6-6 0-6-2 0-6-8 0-6-5 0-6-7
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes