New Zealand picked up the 276 runs in the Christchurch Test.
It was the first kiwi against the Proteas in 18 years, and New Zealand saw only the fifth in 45 Tests against South Africa.
In the first innings, the team went to a small pace for just 95 runs and started the second innings from the hosts on 353 runs.
South Africa started the day with 34 runs for 3 wickets and went to 111 runs. Temba Bavuma scored the highest runs for the team in the second innings.
He scored 43 runs in 6 boundaries off 73 balls before being dismissed by Otagner.
The second highest run came from the bat of wicketkeeper Kyle Verin, 30 runs in 38 balls, and only two of them managed to reach double figures.
The hosts were bowled out for 482 runs in the first innings of 105 and Tom Blandel's 96 in the first innings.