A team has finished a game with 17-0 singles and extra-base hits 63 times since 1897, most recently Kansas City Royals on 31 August 2004. That is about one every 7,031 team-games.
Box score for the most recent one ↗
16-7 16-8 16-9 16-10 16-11 16-12 17-0 17-1 17-2 17-3 17-4 17-5 17-6
The whole distribution — Singles and Extra-Base Hits · All 18 shapes