A team has had more errors (5-0) than hits 8 times since 1897, most recently Cleveland Guardians on 27 July 2011. That is about one every 55,375 team-games.
Box score for the most recent one ↗
3-1 3-2 4-0 4-1 4-2 4-3 5-0 5-1 5-2 5-3 5-4 6-0 6-1
The whole distribution — More Errors Than Hits · All 18 shapes