The New York Giants put up the most runs by a team in a game in 1903, with 20 runs versus the Brooklyn Superbas on May 6, 1903.

Interpreted as:

MLB team most run in a regular-season game 1903

	TEAM	R	DATE	TM		OPP	RESULT	AB	H	2B	3B	HR	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	IBB	GIDP	AVG	OBP	SLG	OPS
1	Giants	20	5/6/1903	NYG	@	BKN	W 20-2	48	21	3	3	0	-9	4	1	-6	2	-9	54	30	6	1	-9	-9	.438	.491	.625	1.116
2	Athletics	19	5/7/1903	PHA	vs	WSH	W 19-5	48	22	4	1	2	15	4	0	3	3	-10	53	34	7	1	-10	-10	.458	.500	.708	1.208
3	Reds	18	9/9/1903	CIN	@	SLN	W 18-5	46	17	4	1	0	-9	3	1	-9	0	-9	52	23	5	2	-9	-9	.370	.420	.500	.920
4	Reds	17	9/19/1903	CIN	vs	PHN	W 17-7	42	19	3	1	0	-9	4	0	2	2	-9	46	24	4	0	-9	-9	.452	.500	.571	1.071
5	Senators	17	7/9/1903	WSH	vs	DET	W 17-4	45	24	2	3	3	17	3	0	-6	3	-9	49	41	8	1	-9	-9	.533	.563	.911	1.474
6	Pirates	17	6/30/1903	PIT	@	BKN	W 17-8	44	19	4	2	1	15	7	0	3	3	-9	52	30	7	1	-9	-9	.432	.510	.682	1.192
7	Cubs	17	5/31/1903	CHC	vs	SLN	W 17-4	43	17	1	0	0	-9	3	0	3	3	-9	46	18	1	0	-9	-9	.395	.435	.419	.853
8	Highlanders	16	8/11/1903	NYH	vs	WSH	W 16-2	43	19	4	0	0	10	2	2	2	3	-9	48	23	4	1	-9	-9	.442	.489	.535	1.024
9	Pirates	16	7/16/1903	PIT	vs	NYG	W 16-4	42	18	1	5	2	16	5	0	1	2	-9	48	35	8	1	-9	-9	.429	.489	.833	1.323
10	Superbas	16	7/5/1903	BKN	@	CIN	W 16-12	41	17	3	1	0	-11	7	1	4	3	-11	50	22	4	1	-11	-11	.415	.510	.537	1.047
11	Cubs	16	7/4/1903	CHC	vs	NYG	W 16-9	43	18	3	0	0	11	5	1	3	10	-10	50	21	3	1	-10	-10	.419	.490	.488	.978
12	White Sox	16	5/2/1903	CWS	vs	CLE	W 16-6	39	15	6	0	0	15	7	0	3	5	-9	46	21	6	0	-9	-9	.385	.478	.538	1.017
13	Pirates	15	9/23/1903	PIT	vs	NYG	W 15-7	42	22	2	4	2	15	1	0	1	1	-10	43	38	8	0	-10	-10	.524	.535	.905	1.440
14	Reds	15	7/30/1903	CIN	vs	CHC	W 15-0	43	19	6	1	0	-10	3	0	3	0	-10	47	27	7	1	-10	-10	.442	.478	.628	1.106
15	Highlanders	15	7/29/1903	NYH	@	BSA	W 15-14	47	18	4	3	0	13	1	0	4	2	-10	50	28	7	2	-10	-10	.383	.396	.596	.992
16	Phillies	15	7/28/1903	PHN	@	BKN	W 15-10	49	17	3	2	0	10	0	1	6	4	-11	51	24	5	1	-11	-11	.347	.360	.490	.850
17	Naps	15	5/30/1903	CLE	vs	CWS	W 15-4	45	22	4	0	0	12	2	0	0	3	-9	48	26	4	1	-9	-9	.489	.511	.578	1.088
18	Reds	15	5/9/1903	CIN	@	PIT	W 15-8	42	18	2	3	0	-9	4	1	4	0	-9	49	26	5	2	-9	-9	.429	.489	.619	1.108
19	Superbas	14	9/27/1903	BKN	@	CIN	W 14-7	39	14	1	1	1	-9	6	2	5	1	-9	49	20	3	2	-9	-9	.359	.468	.513	.981
20	Naps	14	9/25/1903	CLE	@	WSH	W 14-5	44	19	3	1	1	13	2	0	-9	7	-9	49	27	5	3	-9	-9	.432	.457	.614	1.070
21	Phillies	14	9/21/1903	PHN	@	CIN	W 14-13	37	18	2	6	0	-12	2	0	1	1	-12	39	32	8	0	-12	-12	.486	.513	.865	1.378
22	Americans	14	9/17/1903	BSA	vs	CLE	W 14-3	38	15	4	2	2	12	0	1	2	2	-9	39	29	8	0	-9	-9	.395	.410	.763	1.173
23	Americans	14	9/16/1903	BSA	vs	CLE	W 14-7	46	23	7	3	2	13	0	1	4	2	-10	47	42	12	0	-10	-10	.500	.511	.913	1.424
24	Superbas	14	8/31/1903	BKN	vs	BSN	W 14-4	40	19	4	0	0	11	4	1	1	2	-9	47	23	4	2	-9	-9	.475	.533	.575	1.108
25	Pirates	14	8/13/1903	PIT	@	BKN	W 14-6	39	13	0	2	1	12	10	1	3	1	-9	51	20	3	1	-9	-9	.333	.480	.513	.993