Jamie Moyer had the most games pitched when allowing 3+ HR, with 32 games.

Interpreted as:

pitcher 3 or more home runs allowed most regular-season game

	NAME	G	HR	W	L	W%	GS	ERA	SO	CG	SHO	SV	IP	H	ER	R	BB	HBP	GF	IBB	TBF	WP	K/9	BB/9	K/BB	HR/9	K%	BB%	WHIP	BABIP	RA	H/9
1	Jamie Moyer J. Moyer	32	100	7	18	.280	32	9.48	111	2	0	0	176.2	249	186	192	52	9	0	3	821	4	5.65	2.65	2.13	5.09	13.5	6.3	1.70	.271	9.78	12.68
2	Bartolo Colon B. Colon	31	100	4	22	.154	31	9.66	120	1	0	0	163.0	247	175	183	47	2	0	1	772	1	6.63	2.60	2.55	5.52	15.5	6.1	1.80	.292	10.10	13.64
3	Jack Morris J. Morris	30	94	7	16	.304	30	7.54	115	5	0	0	195.2	242	164	182	73	10	0	3	904	13	5.29	3.36	1.58	4.32	12.7	8.1	1.61	.242	8.37	11.13
4	Robin Roberts R. Roberts	29	90	7	19	.269	29	6.85	128	8	0	0	202.1	270	154	166	38	1	0	4	907	0	5.69	1.69	3.37	4.00	14.1	4.2	1.52	.277	7.38	12.01
5	James Shields J. Shields	28	90	4	17	.190	28	9.00	134	0	0	0	151.0	208	151	156	55	10	0	0	717	3	7.99	3.28	2.44	5.36	18.7	7.7	1.74	.276	9.30	12.40
6	Jose Lima J. Lima	26	81	1	18	.053	25	12.66	75	0	0	0	117.1	210	165	172	38	3	1	1	601	3	5.75	2.91	1.97	6.21	12.5	6.3	2.11	.319	13.19	16.11
7	Ervin Santana E. Santana	24	75	3	13	.188	24	8.29	102	1	0	0	130.1	168	120	123	38	4	0	0	590	6	7.04	2.62	2.68	5.18	17.3	6.4	1.58	.251	8.49	11.60
8	Warren Spahn W. Spahn	24	79	6	15	.286	24	6.26	80	9	0	0	174.0	198	121	128	48	1	0	3	756	3	4.14	2.48	1.67	4.09	10.6	6.3	1.41	.217	6.62	10.24
9	Bronson Arroyo B. Arroyo	22	72	3	14	.176	22	9.55	80	0	0	0	114.0	185	121	125	30	5	0	1	549	1	6.32	2.37	2.67	5.68	14.6	5.5	1.89	.312	9.87	14.61
10	Tim Wakefield T. Wakefield	22	72	6	10	.375	21	8.53	82	2	0	0	128.2	163	122	125	34	8	0	0	587	2	5.74	2.38	2.41	5.04	14.0	5.8	1.53	.233	8.74	11.40
11	David Wells D. Wells	22	71	4	12	.250	22	9.05	94	0	0	0	127.1	174	128	132	22	3	0	1	572	0	6.64	1.55	4.27	5.02	16.4	3.8	1.54	.270	9.33	12.30
12	Bert Blyleven B. Blyleven	22	70	3	13	.188	22	7.50	94	2	0	0	140.1	177	117	122	33	2	0	3	620	3	6.03	2.12	2.85	4.49	15.2	5.3	1.50	.254	7.82	11.35
13	Charlie Hough C. Hough	22	70	9	10	.474	21	6.72	95	2	0	1	143.1	152	107	110	48	8	1	0	631	6	5.97	3.01	1.98	4.40	15.1	7.6	1.40	.200	6.91	9.54
14	Jim Bunning J. Bunning	22	67	5	9	.357	22	6.31	100	2	0	0	137.0	145	96	100	42	7	0	2	600	0	6.57	2.76	2.38	4.40	16.7	7.0	1.36	.203	6.57	9.53
15	Justin Verlander J. Verlander	21	68	3	15	.167	21	8.25	122	0	0	0	120.0	148	110	113	26	2	0	0	528	3	9.15	1.95	4.69	5.10	23.1	4.9	1.45	.258	8.48	11.10
16	Woody Williams W. Williams	21	72	1	15	.063	21	9.34	82	0	0	0	115.2	176	120	130	41	1	0	2	552	2	6.38	3.19	2.00	5.60	14.9	7.4	1.88	.292	10.12	13.69
17	Brad Radke B. Radke	21	67	2	16	.111	21	8.72	72	0	0	0	117.2	185	114	116	20	2	0	0	545	2	5.51	1.53	3.60	5.12	13.2	3.7	1.74	.307	8.87	14.15
18	Don Sutton D. Sutton	21	66	7	7	.500	21	7.34	86	2	0	0	130.0	156	106	108	32	2	0	0	568	4	5.95	2.22	2.69	4.57	15.1	5.6	1.45	.236	7.48	10.80
19	Catfish Hunter C. Hunter	21	65	4	15	.211	21	7.86	65	1	0	0	123.2	147	108	111	52	3	0	3	559	2	4.73	3.78	1.25	4.73	11.6	9.3	1.61	.219	8.08	10.70
20	Fergie Jenkins F. Jenkins	21	66	7	11	.389	20	5.54	117	7	0	0	154.1	160	95	98	32	1	1	3	648	3	6.82	1.87	3.66	3.85	18.1	4.9	1.24	.218	5.71	9.33
21	Steve Trachsel S. Trachsel	20	65	2	15	.118	20	11.53	83	0	0	0	96.0	153	123	124	41	2	0	5	475	3	7.78	3.84	2.02	6.09	17.5	8.6	2.02	.310	11.63	14.34
22	Curt Schilling C. Schilling	20	62	5	14	.263	20	7.89	121	1	0	0	122.0	161	107	109	26	1	0	2	540	0	8.93	1.92	4.65	4.57	22.4	4.8	1.53	.300	8.04	11.88
23	Randy Johnson R. Johnson	20	63	3	12	.200	20	9.05	138	2	0	0	113.1	150	114	116	41	3	0	3	526	2	10.96	3.26	3.37	5.00	26.2	7.8	1.69	.310	9.21	11.91
24	Frank Tanana F. Tanana	20	60	6	13	.316	20	8.46	72	0	0	0	117.0	162	110	112	29	4	0	1	533	4	5.54	2.23	2.48	4.62	13.5	5.4	1.63	.277	8.62	12.46
25	Phil Niekro P. Niekro	20	65	2	15	.118	20	6.97	100	6	0	0	134.1	170	104	114	36	4	0	1	601	3	6.70	2.41	2.78	4.35	16.6	6.0	1.53	.265	7.64	11.39