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Tom Brady had the most games with exactly 0 interceptions and 4+ touchdowns, with 335 games.

who has the most games with 4 or more touchdowns and 0 interceptions, minimum 10 games
Interpreted as:
Who has the most regular-season games with 4 or more touchdowns and 0 defensive interceptions, minimum 10 games?
BradyRiceFavreBreesLewisJunkinWittenGonzalezManningFitzgeraldBrownFryarRoethlisbergerRodgersTarkentonProehlMarinoGoreNealManningGatesJoiner335303302287285281271270266263255255249248246244242241239236236236
NAMEGPTDINTTKLASTCOMBSCKSCKYINT YDSINT TDFFFRFR TD
Tom BradyTom Brady335280140140.00000
Jerry RiceJerry Rice30320807070.00001
Brett FavreBrett Favre3021406170.00000
Drew BreesDrew Brees287260160160.00000340
Marcedes LewisMarcedes Lewis285400120120.0000130
Trey JunkinTrey Junkin281702020.00000
Jason WittenJason Witten271740390390.0000020
Tony GonzalezTony Gonzalez2701110250250.00000
Peyton ManningPeyton Manning2661809090.00000
Larry FitzgeraldLarry Fitzgerald2631210410410.0000020
Tim BrownTim Brown25510502020.00000
Irving FryarIrving Fryar2558800.0000
Ben RoethlisbergerBen Roethlisberger249200100100.00000400
Aaron RodgersAaron Rodgers2483505050.00000310
Fran TarkentonFran Tarkenton246320000
Ricky ProehlRicky Proehl2445406060.00000
Dan MarinoDan Marino242900.0000
Frank GoreFrank Gore2411000140140.00000111
Lorenzo NealLorenzo Neal2391809090.00000
Eli ManningEli Manning236704040.00000250
Antonio GatesAntonio Gates2361160240240.0000030
Charlie JoinerCharlie Joiner2366500.0000
Pete MetzelaarsPete Metzelaars2353000.0001
Matt RyanMatt Ryan2341407070.00000250
Tony RichardsonTony Richardson2342405050.00000
Cris CarterCris Carter
Andre ReedAndre Reed
John ElwayJohn Elway
Vinny TestaverdeVinny Testaverde
James LoftonJames Lofton
Derrick MasonDerrick Mason
Henry EllardHenry Ellard
Emmitt SmithEmmitt Smith
Art MonkArt Monk
John HadlJohn Hadl
George BlandaGeorge Blanda
Isaac BruceIsaac Bruce
Brian MitchellBrian Mitchell
Matthew StaffordMatthew Stafford
Marcus AllenMarcus Allen
Dave MooreDave Moore
Steve Smith Sr.Steve Smith Sr.
Terrell OwensTerrell Owens
Hines WardHines Ward
Dwight StoneDwight Stone
Dave KriegDave Krieg
Rodney HolmanRodney Holman
Reggie WayneReggie Wayne
Earnest BynerEarnest Byner
Ed WestEd West
StatMuse has game-level data for interceptions going back to the 1960 season.

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