Only nine other men in the history of the game have fallen for a duck via hit-wicket with the most recent behind Ambris being former Aussie skipper Steve Waugh in 2003 against India.
Wagner took Test-best figures of 7-39 in ripping through the West Indies batting line-up to help dismiss the tourists for 134 in their first innings.
The abrasive left-arm bowler was twice on a hat-trick as he proved too lively on a green Basin Reserve deck, peppering the batsmen with his regular short balls. His 7-39 on Friday eclipsed his previous best of 6-41 at Bulawayo last year. Before the match, the West Indies had talked about attaining consistency and scoring big runs, but they had no answer to Wagner — who came to the fore despite all the pre-match talk being about swing bowler Trent Boult and the possible debut of paceman Lockie Ferguson.
Wagner took two wickets before lunch, when the West Indies were 3-79, and was quickly back in action after the break with another four.
Bout finished with figures of 2-36, while for West Indies Kieran Powell top- scored with 42.
Earlier in the day, New Zealand won the toss and asked the visitors to bat but the first wicket didn't fall until the 90th minute.
Kraigg Brathwaite (24) and Shimron Hetmyer (13) fell to Wagner short balls while Powell was well caught at third slip after a delivery climbed on him.
For the full scorecard, wagon wheel and Manhattan/Worm click here