The hosts ended the day on 144-4 and Henry Nicholls (26) and BJ Watling (six) will resume in Mt. Maunganui on Saturday to try and eat into their 209-run deficit after England were dismissed for 353 after lunch on Friday.
Chris Jordan's all-around brilliance could not prevent New Zealand from securing a series-levelling 21-run victory over England in the second Twenty20 International of the five-match series on Sunday.
New Zealand clinched a remarkable comeback win as they defeated England by 14 runs in the third T20I on Tuesday.
England beat New Zealand in a thrilling Super Over finish to their rain-reduced Twenty20 cricket international Sunday to clinch a 3-2 victory in the five-match series. The teams were tied when England replied with 146-7 to New Zealand's 146-5 in a match shortened by heavy rain to 11 overs per side.
Wagner took three wickets in 17 balls for just one run as England collapsed from 132-5 to 138-8 before tea, then broke a 59-run ninth-wicket partnership between Jofra Archer and Sam Curran after they had threatened to thwart the hosts.