A team has finished a game with 19-9 singles and extra-base hits 1 time since 1897, most recently New York Giants on 10 July 1922. That is about one every 443,004 team-games.
Box score for the most recent one ↗
19-3 19-4 19-5 19-6 19-7 19-8 19-9 19-10 19-11 20-0 20-1 20-2 20-3
The whole distribution — Singles and Extra-Base Hits · All 18 shapes