You might think this relates to the victories over the West Indies and England in 1971, when Wadekar was the captain.
But the first time India won a Test outside India was in New Zealand in February 1968 when Pataudi was still the captain.
India lost the second Test but won the 4-match series 3-1. This is mostly forgotten now, particularly as New Zealand was not considered to be a strong team then.
Anyway, you can look through the old scorecards through this link, which covers all Tests played by India in New Zealand:
After this, India only won two further Tests in New Zealand. The first was in 1976 at Auckland. Later at Wellington the hitherto unknown Richard Hadlee ensured that his team squared the series 1-1. It is noteworthy that India’s win came when Gavaskar was standing in for captain Bedi, who captained in the rest of the series.
And in 2009, when Dhoni’s team won the series 1-0 after winning at Hamilton.
This year, the Tests are scheduled at Wellington and Christchurch. India had won at Wellington back in 1968, but have never won at Christchurch.