most runs scored in a game by a team with 2 home runs or fewer

The St. Louis Cardinals have the most runs by a team in a game with at most 2 home runs, with 28 runs against the Phillies on July 6, 1929.

Interpreted as:

most runs scored in a regular-season game by a team with 2 home runs or fewer

	TEAM	R	HR	DATE	TM		OPP	RESULT	AB	H	2B	3B	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS
1	Cardinals	28	2	7/6/1929	SLN	@	PHN	W 28-6	53	28	4	1	25	9	1	1	0	0	65	40	7	2				.528	.603	.755	1.358
2	Indians	27	0	7/7/1923	CLE	vs	BSA	W 27-3	43	24	5	2	25	14	1	1	4	2	61	33	7	3				.558	.672	.767	1.440
3	Royals	26	1	9/9/2004	KCR	@	DET	W 26-5	52	26	5	1	25	8	0	6	0	0	62	36	7	0	2	0	0	.500	.548	.692	1.241
4	Phillies	26	2	6/11/1985	PHI	vs	NYM	W 26-7	50	27	10	2	25	7	1	3	2	0	59	47	14	0	1	1	2	.540	.593	.940	1.533
5	Giants	26	2	4/30/1944	NYG	vs	BKN	W 26-8	42	18	8	2	26	17	0	5	1	0	60	36	12	1			0	.429	.593	.857	1.450
6	Reds	26	1	6/4/1911	CIN	vs	BSN	W 26-3	44	23	4	3		11	2	3	6		57	36	8	0				.523	.632	.818	1.450
7	Indians	25	0	5/11/1930	CLE	vs	PHA	W 25-7	47	25	9	0	24	7	0	2	1	0	57	34	9	3				.532	.593	.723	1.316
8	Giants	25	0	6/9/1901	NYG	@	CIN	W 25-13	57	31	10	0	18	2	0	1	1	-9	60	41	10	1		-9	-9	.544	.559	.719	1.279
9	Blue Jays	24	2	6/26/1978	TOR	vs	BAL	W 24-10	47	24	7	2	24	8	0	6	0	0	56	41	11	0	1	0	0	.511	.571	.872	1.444
10	Cubs	24	1	7/3/1945	CHC	@	BSN	W 24-2	53	28	7	0	22	8	1	0	0	0	62	38	8	0			0	.528	.597	.717	1.314
11	Red Sox	24	2	9/27/1940	BSA	vs	WSH	W 24-4	44	22	4	1	21	9	0	6	0	0	53	34	7	0			2	.500	.585	.773	1.358
12	Indians	24	0	7/29/1928	CLE	vs	NYY	W 24-6	52	27	2	1	24	4	0	5	2	0	58	31	3	2				.519	.554	.596	1.150
13	Yankees	24	2	9/28/1923	NYY	@	BSA	W 24-4	55	30	8	0	21	6	0	7	2	0	62	44	10	1				.545	.590	.800	1.390
14	Athletics	24	0	5/18/1912	PHA	vs	DET	W 24-2	43	26	4	6	22	7	0	1	10		52	42	10	2				.605	.660	.977	1.637
15	Reds	24	1	5/13/1902	CIN	vs	PHN	W 24-2	53	28	3	3	22	5	0	2	2	-9	59	40	7	1		-9	-9	.528	.569	.755	1.324
16	Royals	23	2	4/6/1974	KCR	vs	MIN	W 23-6	42	16	5	0	21	9	1	5	2	0	52	27	7	0	0	0	0	.381	.500	.643	1.143
17	Braves	23	2	9/2/1957	MIL	@	CHC	W 23-10	53	26	5	3	22	5	1	3	0	0	60	43	10	0	1	0	0	.491	.533	.811	1.345
18	Cubs	23	2	4/17/1954	CHC	vs	STL	W 23-13	44	20	7	0	21	12	0	1	0	0	57	33	9	0	1	1	2	.455	.561	.750	1.311
19	Red Sox	23	1	6/18/1953	BOS	vs	DET	W 23-3	50	27	2	0	22	9	0	6	1	1	60	32	3	1		1	0	.540	.610	.640	1.250
20	Dodgers	23	1	7/10/1943	BKN	vs	PIT	W 23-6	43	20	5	1	21	11	0	2	2	0	55	30	7	1			1	.465	.574	.698	1.272
21	Cardinals	23	0	9/16/1926	SLN	@	PHN	W 23-3	49	22	5	0	18	8	0	5	5	0	57	27	5	0				.449	.526	.551	1.077
22	Phillies	23	0	8/25/1922	PHN	@	CHC	L 23-26	52	26	4	2	19	11	0	5	1	1	66	34	6	3				.500	.587	.654	1.241
23	Pirates	23	0	4/27/1912	PIT	vs	CIN	W 23-4	43	27	5	3	20	5	0	1	8		51	38	8	3				.628	.667	.884	1.550
24	Bronchos	23	1	9/2/1902	CLE	vs	BAL	W 23-7	52	23	6	1	18	3	0	-8	3	-11	56	34	8	1		-11	-11	.442	.473	.654	1.127
25	Americans	23	0	5/2/1901	BSA	@	PHA	W 23-12	47	21	7	3	21	7	0	0	1	-9	55	34	10	1		-9	-9	.447	.519	.723	1.242