5 players were tied for the most games when scoring 5+ runs, with 3 games. The first three are Craig Biggio, Willie Mays and Mel Ott.

Interpreted as:

player with most 5 or more run regular-season game in career

	NAME	G	R	AB	H	2B	3B	HR	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS
1	Craig Biggio C. Biggio	3	15	14	9	1	0	2	4	5	0	0	4	0	19	16	3	0	0	0	0	.643	.737	1.143	1.880
2	Willie Mays W. Mays	3	15	10	8	0	1	2	5	6	0	0	2	0	16	16	3	0	0	0	0	.800	.875	1.600	2.475
3	Mel Ott M. Ott	3	17	10	9	2	0	4	7	8	1	0	1		19	23	6	0			0	.900	.947	2.300	3.247
4	Jimmie Foxx J. Foxx	3	15	10	9	0	1	3	7	7	0	0	0		17	20	4	0			0	.900	.941	2.000	2.941
5	Lou Gehrig L. Gehrig	3	15	15	12	2	2	3	12	2	0	2	0		17	27	7	0				.800	.824	1.800	2.624
6	George Springer G. Springer	2	10	9	9	2	0	3	7	1	0	0	0	0	10	20	5	0	0	0	0	1.000	1.000	2.222	3.222
7	Larry Walker L. Walker	2	10	8	8	2	0	3	5	2	0	0	0	0	11	19	5	0	1	0	0	1.000	.909	2.375	3.284
8	Alex Rodriguez A. Rodriguez	2	10	11	9	2	0	5	13	1	0	1	0	0	12	26	7	0	0	0	0	.818	.833	2.364	3.197
9	Chipper Jones C. Jones	2	10	8	7	1	1	2	3	3	0	0	0	0	11	16	4	0	0	0	0	.875	.909	2.000	2.909
10	Barry Bonds B. Bonds	2	10	5	3	0	0	2	3	8	0	0	0	0	13	9	2	0	0	3	0	.600	.846	1.800	2.646
11	Tim Raines T. Raines	2	10	7	6	0	0	4	5	4	0	0	2	0	11	18	4	0	0	1	0	.857	.909	2.571	3.481
12	Phil Weintraub P. Weintraub	2	10	8	7	2	1	3	16	5	0	0	0		13	20	6	0			0	.875	.923	2.500	3.423
13	Dom DiMaggio D. DiMaggio	2	10	8	6	3	0	0	4	4	0	1	0		12	9	3	0			0	.750	.833	1.125	1.958
14	Al Simmons A. Simmons	2	10	10	10	1	0	4	8	0	0	0	0		10	23	5	0				1.000	1.000	2.300	3.300
15	Kiki Cuyler K. Cuyler	2	10	9	8	2	1	2	9	1	2	0	0		12	18	5	0				.889	.917	2.000	2.917
16	Ira Flagstead I. Flagstead	2	10	5	3	0	1	0	3	7	0	0	0		12	5	1	0				.600	.833	1.000	1.833
17	Reb Russell R. Russell	2	10	10	8	2	0	1	11	1	1	0	1		12	13	3	0				.800	.833	1.300	2.133
18	George Sisler G. Sisler	2	10	11	7	2	1	1	2	1	0	0	5		12	14	4	0				.636	.667	1.273	1.939
19	Ty Cobb T. Cobb	2	10	9	8	1	1	0		2	0	1	1		11	11	2	0				.889	.909	1.222	2.131
20	Max Carey M. Carey	2	10	6	5	1	1	0	2	5	0	0	6		11	8	2	0				.833	.909	1.333	2.242
21	Mickey Moniak M. Moniak	1	5	5	5	3	0	1	4	0	1	0	0	0	6	11	4	0	0	0	0	1.000	1.000	2.200	3.200
22	Adolis García A. García	1	5	5	5	2	0	3	8	0	1	0	0	0	6	16	5	0	0	0	0	1.000	1.000	3.200	4.200
23	Trevor Story T. Story	1	5	4	4	0	0	3	7	1	0	0	1	0	5	13	3	0	0	0	0	1.000	1.000	3.250	4.250
24	Lourdes Gurriel Jr. L. Gurriel Jr.	1	5	3	2	0	0	2	7	3	0	1	0	0	6	8	2	0	0	0	0	.667	.833	2.667	3.500
25	Luis Urías L. Urías	1	5	6	5	3	0	2	5	0	0	0	0	0	6	14	5	0	0	0	0	.833	.833	2.333	3.167