The Chicago White Sox have the most runs per hit by a team in a game, with 6 versus the Washington Senators on August 28, 1909.

Interpreted as:

most runs per hit by a team in a regular-season game

	TEAM	R/H	R	H	DATE	TM		OPP	RESULT	AB	2B	3B	HR	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS
1	White Sox	6	6	1	8/28/1909	CWS	vs	WSH	W 6-4	23	0	0	0	6	11	0	1	1		35	1	0	1				.043	.353	.043	.396
2	Mariners	4	4	1	7/20/2013	SEA	@	HOU	W 4-2	27	1	0	0	3	6	0	15	0	0	34	2	1	0	1	0	0	.037	.206	.074	.280
3	Athletics	4	8	2	4/12/1994	OAK	vs	TOR	W 8-4	24	1	0	1	8	12	0	9	2	3	37	6	2	0	1	1	1	.083	.378	.250	.628
4	White Sox	4	4	1	4/30/1914	CWS	@	DET	L 4-5	25	1	0	0	4	9	0	0	0		35	2	1	1				.040	.294	.080	.374
5	Giants	3.5	7	2	6/20/1914	NYG	vs	CIN	W 7-2	29	1	0	0	4	4	0	4	2		34	3	1	1				.069	.182	.103	.285
6	Rangers	3	3	1	4/4/2016	TEX	vs	SEA	W 3-2	27	0	0	0	3	6	1	10	1	0	34	1	0	0	0	0	0	.037	.235	.037	.272
7	Padres	3	3	1	6/4/2014	SDP	vs	PIT	W 3-2	22	0	0	0	2	9	1	10	2	0	34	1	0	1	1	2	1	.045	.333	.045	.379
8	Athletics	3	3	1	5/21/2014	OAK	@	TBR	W 3-2	29	0	0	1	2	7	0	11	0	0	36	4	1	0	0	0	1	.034	.222	.138	.360
9	Orioles	3	6	2	9/21/1996	BAL	vs	TOR	W 6-3	26	0	0	1	6	7	1	5	1	0	34	5	1	0	0	0	0	.077	.294	.192	.486
10	Royals	3	3	1	4/13/1996	KCR	@	MIL	W 3-2	27	0	0	1	3	4	1	1	1	0	32	4	1	0	0	0	1	.037	.188	.148	.336
11	Royals	3	3	1	4/14/1992	KCR	vs	OAK	W 3-1	24	0	0	0	1	3	0	3	0	0	30	1	0	2	1	0	0	.042	.143	.042	.185
12	Brewers	3	3	1	5/25/1988	MIL	@	DET	L 3-4	27	0	0	1	3	8	0	5	0	0	35	4	1	0	0	0	1	.037	.257	.148	.405
13	White Sox	3	3	1	6/9/1987	CWS	@	OAK	L 3-8	29	0	0	1	3	3	0	7	0	0	32	4	1	0	0	0	0	.034	.125	.138	.263
14	Angels	3	3	1	6/8/1969	CAL	@	CLE	W 3-2	25	1	0	0	2	10	0	8	2	2	36	2	1	0	1	1	0	.040	.306	.080	.386
15	Mets	3	3	1	7/28/1968	NYM	vs	CIN	L 3-5	29	1	0	0	3	7	0	5	0	0	36	2	1	0	0	0	0	.034	.222	.069	.291
16	Dodgers	3	3	1	5/15/1965	LAD	vs	CHC	W 3-1	23	0	0	1	3	4	0	4	0	1	29	4	1	2	0	0	1	.043	.185	.174	.359
17	Dodgers	3	3	1	9/12/1950	BKN	vs	CIN	W 3-1	24	0	0	0	2	4	1	5	0	1	30	1	0	1		0	0	.042	.207	.042	.249
18	White Sox	3	3	1	10/2/1949	CWS	@	SLA	L 3-5	16	0	1	0	3	4	0	1	0	0	20	3	1	0			0	.063	.250	.188	.438
19	Tigers	3	3	1	5/18/1949	DET	@	WSH	L 3-6	30	0	0	0	3	9	0	7	3	0	40	1	0	1			0	.033	.256	.033	.290
20	Braves	3	3	1	4/26/1923	BSN	@	NYG	L 3-7	31	1	0	0	2	3	0	1	0	1	34	2	1	0				.032	.118	.065	.182
21	Phillies	3	3	1	8/1/1916	PHN	vs	CHC	W 3-2	26	0	0	0	2	4	0	7	3		31	1	0	1				.038	.167	.038	.205
22	Cardinals	3	3	1	9/10/1914	SLN	@	CIN	W 3-2	22	0	0	0	3	6	3	5	3		33	1	0	2				.045	.323	.045	.368
23	Cubs	3	3	1	7/17/1914	CHC	vs	BKN	W 3-2	26	1	0	0	1	4	0	2	2		31	2	1	1				.038	.167	.077	.244
24	Browns	3	6	2	7/13/1911	SLA	vs	NYH	W 6-1	22	0	0	1	6	4	2	2	2		33	5	1	5				.091	.286	.227	.513
25	Cardinals	3	6	2	9/23/1910	SLN	@	BKN	W 6-2	20	0	0	0	6	11	1	7	4		34	2	0	2				.100	.438	.100	.538