John Stockton had the most games with 15+ assists and exactly 0 turnovers, with 14 games.

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most career games with 15 assists and 0 turnovers
Interpreted as:
most career regular-season games by a player with 15 or more assists and 0 turnovers
StocktonPaulNashBoguesKiddRondoWilliamsWilliamsJohnsonThomasJohnsonMillerVan ExelSnowKnightHardenJamesSimmonsSchroderLillardWestbrookIguodalaDuhonBillupsJones14877433333322221111111111
NAMEGPASTTOVMPGPPGRPGAPGSPGBPGTPGFGMFGAFG%3PM3PA3P%FTMFTAFT%MINPTSREBSTLBLKPF+/-
John StocktonJohn Stockton14229036.414.13.316.42.20.30.05.49.954.30.51.436.82.93.583.75101984631438+24
Chris PaulChris Paul8128037.618.94.616.02.80.30.07.115.645.61.54.037.53.13.492.63011513722216+160
Steve NashSteve Nash7110035.915.44.015.70.40.00.05.111.644.41.43.937.03.73.996.325210828307+92
Muggsy BoguesMuggsy Bogues7118037.09.44.316.91.10.00.04.18.648.30.00.10.01.11.672.725966308015
Jason KiddJason Kidd466041.210.07.316.52.00.30.03.011.027.31.33.833.32.84.561.11654029819-2
Rajon RondoRajon Rondo351034.912.03.017.02.00.00.05.012.739.51.03.033.31.01.375.0105369606+17
Deron WilliamsDeron Williams347033.519.03.315.72.30.30.08.014.057.11.34.728.61.72.083.31015710715+60
Jason WilliamsJason Williams346033.310.02.715.32.00.00.03.711.033.32.06.730.00.71.350.0100308604+27
Kevin JohnsonKevin Johnson349036.322.34.016.31.70.00.07.313.056.40.31.033.37.38.388.01096712506
Isiah ThomasIsiah Thomas350033.010.72.716.70.70.70.04.09.741.40.01.00.02.73.380.099328224
Magic JohnsonMagic Johnson346041.017.36.315.32.00.70.07.313.753.70.00.70.02.74.361.512352196210
Andre MillerAndre Miller236044.524.02.018.02.00.00.08.017.047.10.01.00.08.09.088.989484406+13
Nick Van ExelNick Van Exel230043.013.56.515.01.50.50.05.516.034.41.03.528.61.52.075.0862713314-2
Eric SnowEric Snow230042.512.06.015.01.00.00.04.59.547.40.00.03.05.060.0852412207-16
Brevin KnightBrevin Knight232037.017.54.016.04.50.00.05.510.552.40.01.00.06.57.586.774358903+17
James HardenJames Harden115044.030.014.015.02.00.00.012.023.052.23.07.042.93.04.075.0443014203+16
LeBron JamesLeBron James117039.435.07.017.01.00.00.011.019.057.91.03.033.312.014.085.739357102+12
Ben SimmonsBen Simmons115033.011.012.015.03.00.00.04.09.044.40.00.03.04.075.0331112300+30
Dennis SchroderDennis Schroder115033.913.03.015.02.00.00.04.016.025.03.09.033.32.02.0100.034133202+2
Damian LillardDamian Lillard116038.524.04.016.00.00.00.06.020.030.01.010.010.011.012.091.739244001+3
Russell WestbrookRussell Westbrook116028.517.010.016.02.01.00.07.011.063.60.00.03.06.050.0281710212+16
Andre IguodalaAndre Iguodala116038.618.04.016.01.02.00.05.011.045.51.02.050.07.08.087.539184122+8
Chris DuhonChris Duhon115030.422.03.015.02.00.00.08.09.088.94.04.0100.02.02.0100.030223202+22
Chauncey BillupsChauncey Billups115034.925.04.015.03.01.00.07.013.053.83.06.050.08.09.088.935254311+36
Damon JonesDamon Jones117036.09.07.017.00.00.00.04.08.050.01.02.050.00.00.03697001+17
StatMuse has game-level data for turnovers going back to the 1984-85 season.