A team has finished a game with 16-10 singles and extra-base hits 4 times since 1897, most recently Montreal Expos on 7 May 1997. That is about one every 110,751 team-games.
Box score for the most recent one ↗
16-4 16-5 16-6 16-7 16-8 16-9 16-10 16-11 16-12 17-0 17-1 17-2 17-3
The whole distribution — Singles and Extra-Base Hits · All 18 shapes