A team has finished a game with 16-4 runs on that many hits 1 time since 1897, most recently Homestead Grays on 23 May 1947. That is about one every 443,004 team-games.
Box score for the most recent one ↗
14-0 14-1 14-2 15-0 16-0 16-2 16-4 17-0 18-0 19-0 20-0 20-3 22-0