A team has finished a game with 7-5-3 runs-hits-errors line 5 times since 1897, most recently Toronto Blue Jays on 7 April 2010. That is about one every 88,600 team-games.
Box score for the most recent one ↗
7-4-1 7-4-2 7-4-3 7-4-0 7-5-0 7-5-2 7-5-3 7-5-1 7-5-4 7-5-5 7-6-1 7-6-3 7-6-4
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes