In 1988 Cincinnati had 22 singles and no extra base hits in a game.
This is just since 1954
All of teams hits were singlesSince 1954:
A team has had 10 hits, all for singles, 780 times.
A team has had 11 hits, all for singles, 415 times.
A team has had 12 hits, all for singles, 250 times.
A team has had 13 hits, all for singles, 145 times.
A team has had 14 hits, all for singles, 69 times.
A team has had 15 hits, all for singles, 44 times.
A team has had 16 hits, all for singles, 9 times, going 3-6 in those 9 games despite 16 hits
A team has had 17 hits, all for singles, 12 times, winning 11 out of 12 times.
A team has had 18 hits, all for singles, 5 times:
Cnt Date Tm Opp GmReslt PA AB R H 2B 3B HR RBI BB IBB SO HBP SH SF ROE GDP SB CS LOB Batrs
+----+-------------+---+----+-------+---+---+--+--+--+--+--+---+--+---+--+---+--+--+---+---+--+--+---+-----+
1 1992-09-11 DET @BOS L 6-7 47 39 6 18 0 0 0 6 5 0 5 0 0 3 0 3 0 0 14 12
2 1984-07-08 LAD STL L 6-8 55 50 6 18 0 0 0 6 2 1 6 0 2 1 1 0 0 0 13 20
3 1984-05-10 CLE @NYY L 6-7 68 61 6 18 0 0 0 5 5 0 7 0 0 2 1 1 1 2 14 13
4 1978-09-10 NYY @BOS W 7-4 47 38 7 18 0 0 0 7 8 0 3 0 0 1 0 3 3 1 13 10
5 1973-06-18 LAD ATL W 13-3 43 41 13 18 0 0 0 12 2 1 4 0 0 0 2 2 1 0 6 10
A team has had 19 hits, all for singles, once:
Cnt Date Tm Opp GmReslt PA AB R H 2B 3B HR RBI BB IBB SO HBP SH SF ROE GDP SB CS LOB Batrs
+----+-------------+---+----+-------+---+---+--+--+--+--+--+---+--+---+--+---+--+--+---+---+--+--+---+-----+
1 1973-05-24 LAD NYM L 3-7 82 71 3 19 0 0 0 2 9 3 7 0 1 1 2 5 1 0 22 18
It's never happened (again, since 1954) with 20 or 21 hits.
A team has had 22 hits, all for singles, once:
Cnt Date Tm Opp GmReslt PA AB R H 2B 3B HR RBI BB IBB SO HBP SH SF ROE GDP SB CS LOB Batrs
+----+-------------+---+----+-------+---+---+--+--+--+--+--+---+--+---+--+---+--+--+---+---+--+--+---+-----+
1 1988-06-03 LAD CIN W 13-5 50 45 13 22 0 0 0 11 3 1 8 1 0 1 1 1 2 0 13 17