A team has finished a game with 19-3 singles and extra-base hits 18 times since 1897, most recently Kansas City Royals on 26 July 2017. That is about one every 24,611 team-games.
Box score for the most recent one ↗
18-8 18-9 18-10 19-0 19-1 19-2 19-3 19-4 19-5 19-6 19-7 19-8 19-9
The whole distribution — Singles and Extra-Base Hits · All 18 shapes