The Black Caps are 160 without loss at stumps on day one of the third test in Hamilton.
Mathew Bell is on 89 and Mark Richardson 64.
New Zealand bowled out Pakistan for 104 just after lunch, after Stephen Fleming won the toss.
Younis Khan top-scored for Pakistan, making 39.
Tuffey was in fine form with the ball, taking four for 39, while Chris Martin took four for 52.
Cricket: Black Caps 160 without loss at stumps
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