Burleigh Grimes had the most games pitched when allowing 10+ runs, with 9 games.

Interpreted as:

pitcher 10 or more runs allowed most regular-season game

	NAME	G	R	W	L	W%	GS	ERA	SO	CG	SHO	SV	IP	H	ER	HR	BB	HBP	GF	IBB	TBF	WP	K/9	BB/9	K/BB	HR/9	K%	BB%	WHIP	BABIP	RA	H/9
1	Burleigh Grimes B. Grimes	9	91	0	9	.000	9	11.26	19	1	0	0	58.1	103	73	3	29	3	0		317	2	2.93	4.47	0.66	0.46	6.0	9.1	2.26	.380	14.04	15.89
2	Wes Ferrell W. Ferrell	8	85	1	5	.167	8	12.19	13	2	0	0	51.2	97	70	8	35	0	0		289	1	2.26	6.10	0.37	1.39	4.5	12.1	2.55	.382	14.81	16.90
3	Bobo Newsom B. Newsom	7	80	0	7	.000	7	11.86	27	6	0	0	57.2	99	76	10	42	2	0		311	3	4.21	6.55	0.64	1.56	8.7	13.5	2.45	.387	12.49	15.45
4	Milt Gaston M. Gaston	7	78	0	7	.000	7	12.61	17	3	0	0	40.2	89	57	6	23	0	0		236	4	3.76	5.09	0.74	1.33	7.2	9.7	2.75	.437	17.26	19.70
5	Jimmy Ring J. Ring	7	83	0	7	.000	7	11.32	15	1	0	0	45.1	89	57	6	22	3	0		252	1	2.98	4.37	0.68	1.19	6.0	8.7	2.45	.403	16.48	17.67
6	Howard Ehmke H. Ehmke	7	84	0	7	.000	7	10.24	29	6	0	0	58.0	107	66	10	24	2	0		307	0	4.50	3.72	1.21	1.55	9.4	7.8	2.26	.401	13.03	16.60
7	Bill Sherdel B. Sherdel	7	77	1	6	.143	7	14.49	18	3	0	0	45.1	101	73	11	22	0	0		251	1	3.57	4.37	0.82	2.18	7.2	8.8	2.71	.450	15.29	20.05
8	George Caster G. Caster	6	66	0	5	.000	5	11.71	10	2	0	0	37.2	67	49	6	18	0	1		206	3	2.39	4.30	0.56	1.43	4.9	8.7	2.26	.355	15.77	16.01
9	Bill Dietrich B. Dietrich	6	65	0	6	.000	6	12.19	11	3	0	0	41.1	73	56	6	31	0	0		227	3	2.40	6.75	0.35	1.31	4.8	13.7	2.52	.374	14.15	15.90
10	Claude Willoughby C. Willoughby	6	63	0	5	.000	5	15.84	11	2	0	0	34.2	79	61	2	27	0	0		202	2	2.86	7.01	0.41	0.52	5.4	13.4	3.06	.475	16.36	20.51
11	Sad Sam Jones S. Sam Jones	6	65	0	6	.000	6	9.29	11	2	0	0	41.2	75	43	6	16	2	0		222	0	2.38	3.46	0.69	1.30	5.0	7.2	2.18	.369	14.04	16.20
12	Hooks Dauss H. Dauss	6	66	0	6	.000	6	6.66	19	4	0	0	50.0	80	37	3	27	3	0		256	0	3.42	4.86	0.70	0.54	7.4	10.5	2.14	.377	11.88	14.40
13	Jack Quinn J. Quinn	6	70	0	6	.000	6	4.94	20	3	0	0	47.1	94		8	8	2	0			2	3.80	1.52	2.50	1.52		3.9	2.15	.509	13.31	17.87
14	James Shields J. Shields	5	50	0	5	.000	5	26.47	14	0	0	0	17.0	53	50	6	15	0	0	0	116	1	7.41	7.94	0.93	3.18	12.1	12.9	4.00	.580	26.47	28.06
15	Jamie Moyer J. Moyer	5	52	0	5	.000	5	17.01	18	0	0	0	24.1	53	46	12	10	1	0	0	139	3	6.66	3.70	1.80	4.44	12.9	7.2	2.59	.418	19.23	19.60
16	James DeShong J. DeShong	5	54	0	4	.000	4	13.36	9	2	0	0	33.0	62	49	9	22	0	1		179	1	2.45	6.00	0.41	2.45	5.0	12.3	2.55	.381	14.73	16.91
17	Carl Doyle C. Doyle	5	60	0	3	.000	4	15.85	7	2	0	0	30.2	68	54	3	26	7	0		192	4	2.05	7.63	0.27	0.88	3.6	13.5	3.07	.436	17.61	19.96
18	Jim Walkup J. Walkup	5	54	0	5	.000	5	11.94	12	0	0	0	34.2	69	46	6	17	0	0		190	3	3.12	4.41	0.71	1.56	6.3	8.9	2.48	.406	14.02	17.91
19	Red Ruffing R. Ruffing	5	56	0	5	.000	5	11.67	20	4	0	0	39.1	77	51	2	18	1	0		209	4	4.58	4.12	1.11	0.46	9.6	8.6	2.42	.446	12.81	17.62
20	Ted Lyons T. Lyons	5	59	0	5	.000	5	10.85	12	2	0	0	35.2	69	43	5	15	0	0		195	1	3.03	3.79	0.80	1.26	6.2	7.7	2.36	.393	14.89	17.41
21	Sam Gray S. Gray	5	51	0	5	.000	5	12.48	11	2	0	0	31.0	58	43	2	16	3	0		174	1	3.19	4.65	0.69	0.58	6.3	9.2	2.39	.394	14.81	16.84
22	Bill Hubbell B. Hubbell	5	53	0	5	.000	5	8.33	7	3	0	0	35.2	74	33	6	9	1	0		186	2	1.77	2.27	0.78	1.51	3.8	4.8	2.33	.417	13.37	18.67
23	Waite Hoyt W. Hoyt	5	54	0	4	.000	4	12.80	4	1	0	0	32.1	72	46	1	18	1	1		188	3	1.11	5.01	0.22	0.28	2.1	9.6	2.78	.433	15.03	20.04
24	Elmer Myers E. Myers	5	60	0	5	.000	5	11.61	14	4	0	0	38.0	81	49	2	24	0	0		215	2	3.32	5.68	0.58	0.47	6.5	11.2	2.76	.451	14.21	19.18
25	Bullet Joe Bush B. Joe Bush	5	52	0	4	.000	5	8.75	13	1	0	0	36.0	69		2	26	2	0		199	0	3.25	6.50	0.50	0.50	6.5	13.1	2.64	.429	13.00	17.25