The intruder came some distance on the field after Indian batter Shreyas Iyer's dismissal in the second session but the ground security took him off the field.
A half-century from opener Tom Latham (76) and a solid knock from skipper Kane Williamson (48) took New Zealand to an advantageous position at the end of the day
Stokes achieved the feat with a six off Tim Southee's delivery in his 151st Test innings. Former Kiwi skipper and current England Test format coach Brendon McCullum tops the list with 107 sixes.
A whooping 1,675 runs were scored during the match. It is still 49-runs short of becoming the highest-scoring Test match ever, as the fourth Test between England and Australia in 1948 Ashes saw both teams scoring a combined total of 1,723 runs, a record which has not been unbeaten.