Nikola Jokic has the most games by a center with 14+ assists, with 11 games.

most 14 assist games by centers list
Interpreted as:
most 14 or more assist regular-season games by centers list
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JokicSabonisNoahGasolGasol113211
NAMEGPASTMPGPPGRPGAPGSPGBPGTPGFGMFGAFG%3PM3PA3P%FTMFTAFT%MINPTSREBSTLBLKTOVPF+/-
Nikola JokicNikola Jokic1116835.921.912.615.31.40.94.28.214.755.61.22.743.34.45.580.039524113915104634+106
Domantas SabonisDomantas Sabonis34332.017.312.714.30.70.03.07.313.753.71.32.750.01.32.066.79652382096+46
Joakim NoahJoakim Noah22834.910.511.014.01.51.51.04.08.547.10.00.02.54.062.57021223324+27
Marc GasolMarc Gasol11438.115.06.014.02.00.04.05.013.038.51.05.020.04.04.0100.0381562043-1
Pau GasolPau Gasol11437.222.016.014.01.03.03.09.016.056.30.00.04.05.080.03722161333+3
StatMuse has game-level data for assists going back to the 1982-83 season.