6 players are tied for the most games with 5+ runs in a season, with 2 games. The first three are Craig Biggio in 1995, Willie Mays in 1964 and Mel Ott in 1944.

Interpreted as:

most games by a player with 5+ runs in one season

	NAME	G	R	SEASON	TM	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	2	10	1995	HOU	10	7	1	0	2	3	3	0	0	3	0	13	14	3	0	0	0	0	.700	.769	1.400	2.169
2	Willie Mays W. Mays	2	10	1964	SFG	6	5	0	0	2	4	4	0	0	2	0	10	11	2	0	0	0	0	.833	.900	1.833	2.733
3	Mel Ott M. Ott	2	11	1944	NYG	6	5	1	0	2	3	7	0	0	1		13	12	3	0			0	.833	.923	2.000	2.923
4	Phil Weintraub P. Weintraub	2	10	1944	NYG	8	7	2	1	3	16	5	0	0	0		13	20	6	0			0	.875	.923	2.500	3.423
5	Lou Gehrig L. Gehrig	2	10	1936	NYY	11	8	2	0	1	7	1	0	2	0		12	13	3	0				.727	.750	1.182	1.932
6	Kiki Cuyler K. Cuyler	2	10	1925	PIT	9	8	2	1	2	9	1	2	0	0		12	18	5	0				.889	.917	2.000	2.917
7	Nick Kurtz N. Kurtz	1	6	2025	ATH	6	6	1	0	4	8	0	0	0	0	0	6	19	5	0	0	0	0	1.000	1.000	3.167	4.167
8	Mickey Moniak M. Moniak	1	5	2023	LAA	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
9	Adolis García A. García	1	5	2023	TEX	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
10	Trevor Story T. Story	1	5	2022	BOS	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
11	Lourdes Gurriel Jr. L. Gurriel Jr.	1	5	2021	TOR	3	2	0	0	2	7	3	0	1	0	0	6	8	2	0	0	0	0	.667	.833	2.667	3.500
12	Luis Urías L. Urías	1	5	2021	MIL	6	5	3	0	2	5	0	0	0	0	0	6	14	5	0	0	0	0	.833	.833	2.333	3.167
13	Tommy Pham T. Pham	1	5	2021	SDP	6	4	1	0	1	2	1	0	0	1	0	7	8	2	0	0	0	0	.667	.714	1.333	2.048
14	Bo Bichette B. Bichette	1	5	2021	TOR	5	4	1	0	1	3	1	0	0	1	0	6	8	2	0	0	0	0	.800	.833	1.600	2.433
15	Chris Taylor C. Taylor	1	5	2021	LAD	3	3	0	0	0	0	1	2	0	0	0	6	3	0	0	0	0	0	1.000	1.000	1.000	2.000
16	José Abreu J. Abreu	1	5	2020	CWS	4	4	0	0	2	7	1	0	0	0	0	5	10	2	0	0	0	0	1.000	1.000	2.500	3.500
17	Adam Duvall A. Duvall	1	5	2020	ATL	4	3	0	0	3	9	2	0	1	0	0	6	12	3	0	0	0	0	.750	.833	3.000	3.833
18	Dansby Swanson D. Swanson	1	5	2020	ATL	4	3	0	0	0	0	1	1	1	1	0	6	3	0	0	0	0	0	.750	.833	.750	1.583
19	Austin Riley A. Riley	1	5	2020	ATL	4	2	0	0	0	1	2	0	0	0	0	6	2	0	0	0	0	0	.500	.667	.500	1.167
20	Alex Dickerson A. Dickerson	1	5	2020	SFG	6	5	2	0	3	6	1	0	1	0	0	7	16	5	0	0	0	0	.833	.857	2.667	3.524
21	George Springer G. Springer	1	5	2019	HOU	5	5	0	0	2	4	0	0	0	0	0	5	11	2	0	0	0	0	1.000	1.000	2.200	3.200
22	Matt Carpenter M. Carpenter	1	5	2018	STL	5	5	1	0	2	3	0	0	0	0	0	5	12	3	0	0	0	0	1.000	1.000	2.400	3.400
23	Jeimer Candelario J. Candelario	1	5	2018	DET	6	3	1	0	1	1	0	0	1	0	0	6	7	2	0	0	0	0	.500	.500	1.167	1.667
24	Mookie Betts M. Betts	1	5	2018	BOS	4	4	2	0	1	4	1	0	0	0	0	5	9	3	0	0	0	0	1.000	1.000	2.250	3.250
25	Yoán Moncada Y. Moncada	1	5	2017	CWS	5	4	0	0	1	1	2	0	1	1	0	7	7	1	0	0	0	0	.800	.857	1.400	2.257