A team has finished a game with 19-0 singles and extra-base hits 19 times since 1897, most recently Los Angeles Dodgers on 24 May 1973. That is about one every 23,316 team-games.
Box score for the most recent one ↗
18-5 18-6 18-7 18-8 18-9 18-10 19-0 19-1 19-2 19-3 19-4 19-5 19-6
The whole distribution — Singles and Extra-Base Hits · All 18 shapes