A team has finished a game with 5-5-5 runs-hits-errors line 9 times since 1897, most recently New York Mets on 13 September 1977. That is about one every 49,222 team-games.
Box score for the most recent one ↗
5-4-9 5-5-1 5-5-2 5-5-3 5-5-0 5-5-4 5-5-5 5-5-6 5-5-8 5-5-7 5-6-1 5-6-6 5-6-0
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes