which quarterback has the most games with 2 or more touchdown passes and zero interceptions

Tom Brady had the most games by a quarterback with 2+ passing touchdowns and exactly 0 intercepted passes, with 122 games.

Interpreted as:

Which quarterback has the most regular-season games with 2 or more touchdown passes and zero passing interceptions?

	NAME	GP	TD	INT	CMP	ATT	PCT	YDS	AVG	YDS/G	RTG	TD%	INT%	SCK	SCKY
1	Tom Brady T. Brady	122	350	0	2,895	4,260	68.0	35,154	8.3	288.1	120.5	8.2	0.0	179	1,140
2	Aaron Rodgers A. Rodgers	113	327	0	2,609	3,812	68.4	31,539	8.3	279.1	122.2	8.6	0.0	226	1,534
3	Drew Brees D. Brees	88	266	0	2,288	3,087	74.1	26,821	8.7	304.8	128.8	8.6	0.0	99	644
4	Brett Favre B. Favre	74	197	0	1,617	2,377	68.0	19,708	8.3	266.3	120.9	8.3	0.0	120	751
5	Russell Wilson R. Wilson	73	193	0	1,467	2,151	68.2	17,941	8.3	245.8	123.6	9.0	0.0	176	1,229
6	Peyton Manning P. Manning	73	224	0	1,722	2,462	69.9	21,114	8.6	289.2	126.4	9.1	0.0	64	412
7	Matthew Stafford M. Stafford	65	174	0	1,541	2,292	67.2	18,826	8.2	289.6	117.6	7.6	0.0	144	926
8	Philip Rivers P. Rivers	64	160	0	1,356	1,978	68.6	17,972	9.1	280.8	124.0	8.1	0.0	97	567
9	Ben Roethlisberger B. Roethlisberger	64	182	0	1,451	2,117	68.5	17,892	8.5	279.6	123.1	8.6	0.0	110	698
10	Matt Ryan M. Ryan	57	151	0	1,405	1,996	70.4	16,201	8.1	284.2	119.8	7.6	0.0	98	617
11	Jared Goff J. Goff	52	145	0	1,179	1,711	68.9	15,204	8.9	292.4	124.8	8.5	0.0	90	633
12	Kirk Cousins K. Cousins	52	140	0	1,279	1,825	70.1	15,366	8.4	295.5	121.1	7.7	0.0	94	722
13	Derek Carr D. Carr	47	115	0	1,054	1,562	67.5	12,261	7.8	260.9	115.6	7.4	0.0	64	401
14	Andy Dalton A. Dalton	46	114	0	990	1,531	64.7	11,698	7.6	254.3	112.6	7.4	0.0	82	590
15	Eli Manning E. Manning	46	120	0	977	1,482	65.9	12,109	8.2	263.2	118.1	8.1	0.0	72	468
16	Fran Tarkenton F. Tarkenton	46	116	0	733	1,210	60.6	10,064	8.3	218.8	119.2	9.6	0.0
17	Patrick Mahomes P. Mahomes	45	136	0	1,160	1,659	69.9	13,424	8.1	298.3	121.4	8.2	0.0	68	443
18	Dan Marino D. Marino	42	110	0	880	1,387	63.4	11,150	8.0	265.5	114.9	7.9	0.0	39	263
19	Dak Prescott D. Prescott	40	112	0	900	1,301	69.2	11,047	8.5	276.2	123.8	8.6	0.0	62	341
20	Tony Romo T. Romo	38	104	0	812	1,196	67.9	10,475	8.8	275.7	124.1	8.7	0.0	62	384
21	Joe Montana J. Montana	38	96	0	715	1,091	65.5	9,765	9.0	257.0	123.3	8.8	0.0
22	Alex Smith A. Smith	37	90	0	731	1,107	66.0	8,800	7.9	237.8	117.3	8.1	0.0	81	437
23	Steve Young S. Young	37	97	0	707	1,028	68.8	9,289	9.0	251.1	128.5	9.4	0.0	67	366
24	Josh Allen J. Allen	35	96	0	840	1,223	68.7	10,079	8.2	288.0	119.8	7.8	0.0	51	253
25	Ryan Tannehill R. Tannehill	35	85	0	675	976	69.2	8,207	8.4	234.5	123.8	8.7	0.0	78	577

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Bills	10	4	0	.714
Dolphins - e	6	8	0	.429
Jets - e	3	11	0	.214
AFC North	W	L	T	PCT
Steelers	8	6	0	.571
Ravens	7	7	0	.500
Bengals - e	4	10	0	.286
Browns - e	3	11	0	.214
AFC South	W	L	T	PCT
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Texans	9	5	0	.643
Colts	8	6	0	.571
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Chiefs - e	6	8	0	.429
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Saints - e	4	10	0	.286
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Rams - x	11	4	0	.733
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Cardinals - e	3	11	0	.214