A team has finished a game with 19-6 singles and extra-base hits 11 times since 1897, most recently Colorado Rockies on 25 September 2011. That is about one every 40,273 team-games.
Box score for the most recent one ↗
19-0 19-1 19-2 19-3 19-4 19-5 19-6 19-7 19-8 19-9 19-10 19-11 20-0
The whole distribution — Singles and Extra-Base Hits · All 18 shapes