John Paciorek has the most career runs per game, with 4.

Interpreted as:

MLB highest runs per game by a player

	NAME	R/G	R	G	AB	H	2B	3B	HR	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS	WRC	WRAA	WOBA	WRC+	BRAA
1	John Paciorek J. Paciorek	4	4	1	3	3	0	0	0	3	2	0	0	0	0	5	3	0	0	0	0	0	1.000	1.000	1.000	2.000	2	1.9	.812	450	1.9
2	Ginger Clark G. Clark	2	2	1	4	2	0	0	0	0	0	0	0	0		4	2	0	0				.500	.500	.500	1.000	1	0.5	.479	172	0.4
3	King Bailey K. Bailey	2	2	1	4	2	1	0	0	1	0	0	1	1		4	3	1	0				.500	.500	.750	1.250	1	0.7	.562	200	0.7
4	Bill Anderson B. Anderson	2	2	1	3	1	0	0	0	0	0	0	1	0		3	1	0					.333	.333	.333	.667	0	0	.321	91	0
5	Dan Bickham D. Bickham	2	2	1	3	1	0	0	0	0	1	0		0		4	1	0					.333	.500	.333	.833	1	0.4	.425	162	0.4
6	John Mulligan J. Mulligan	2	2	1	4	1	0	0	0		0					4	1	0					.250		.250		0	-0.1	.231	79	-0.1
7	George Snyder G. Snyder	2	2	1	3	1	0	0	0		0					3	1	0					.333		.333		0	0.1	.306	112	0.1
8	John Curran J. Curran	1.67	5	3	12	4	1	0	0	2	0		0			12	5	1					.333		.417		2	0.6	.345	127	0.5
9	Brian Milner B. Milner	1.5	3	2	9	4	0	1	0	2	0	0	1	0	0	9	6	1	0	0	0	0	.444	.444	.667	1.111	2	1.2	.490	209	1.1
10	Hunkey Hines H. Hines	1.5	3	2	8	2	0	0	0	1	2	0	0	0		10	2	0	0				.250	.400	.250	.650	2	-0.1	.350	96	-0.1
11	Pussy Tebeau P. Tebeau	1.5	3	2	6	3	0	0	0	1	2	0	1	1		8	3	0	0				.500	.625	.500	1.125	3	1.4	.558	197	1.3
12	Frank Boyd F. Boyd	1.5	3	2	5	1	1	0	0	3	1	0	0	0		6	2	1					.200	.333	.400	.733	1	0	.350	90	-0.1
13	Harvey Blauvelt H. Blauvelt	1.5	3	2	6	3	0	0	0	1	0	0		3		6	3	0					.500	.500	.500	1.000	2	0.7	.486	187	0.8
14	Joe Peitz J. Peitz	1.43	10	7	26	11	2	3	0	3	6	0	1	2		32	19	5	0				.423	.531	.731	1.262	11	5.5	.550	188	5.3
15	Frank Diven F. Diven	1.33	4	3	12	2	0	0	0	0	0			0		12	2	0					.167		.167		0	-1.3	.153	28	-1.3
16	Jim Powers J. Powers	1.25	5	4	13	2	0	0	0	0	1	1		1		15	2	0					.154	.267	.154	.421	1	-1.2	.236	45	-1.3
17	Hercules Burnett H. Burnett	1.17	7	6	21	7	0	1	2	3	3	0	2	3		25	15	3	1				.333	.417	.714	1.131	7	3.2	.480	171	3.2
18	Bill Kienzle B. Kienzle	1.11	84	76	332	87	16	10	0		26					358	123	26					.262		.370		62	10	.315	124	12.1
19	Art Sunday A. Sunday	1.08	26	24	83	22	5	1	0	13	15	7	9	0		105	29	6					.265	.419	.349	.768	21	4.9	.394	111	2.1
20	Billy Hamilton B. Hamilton	1.06	1,697	1,594	6,283	2,164	242	95	40	742	1,189	89	271	914		7,608	2,716	377	47				.344	.455	.432	.888	1716	578.6	.433	142	505.5
21	Ross Barnes R. Barnes	1.02	239	234	1,032	329	45	17	2		59					1,091	414	64					.319		.401		213	58.2	.349	133	54.1
22	George Gore G. Gore	1.01	1,327	1,310	5,357	1,612	262	94	46	358	717	30	56	170		6,104	2,200	402					.301	.386	.411	.797	1235	351	.377	131	282.3
23	Harry Stovey H. Stovey	1	1,492	1,486	6,138	1,771	347	174	122	675	663	22	134	509		6,832	2,832	643					.289	.361	.461	.822	1384	392.4	.380	132	326.1
24	Josè Rodriguez J. Rodriguez	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
25	Ryne Nelson R. Nelson	1	1	1	1	1	0	0	0	1	0	0	0	0	0	1	1	0	0	0	0	0	1.000	1.000	1.000	2.000	1	0.5	.889	493	0.5