A team has finished a game with 17-0 runs on that many hits 3 times since 1897, most recently Newark Eagles on 21 May 1947. That is about one every 147,668 team-games.
Box score for the most recent one ↗
14-1 14-2 15-0 16-0 16-2 16-4 17-0 18-0 19-0 20-0 20-3 22-0 23-0