West Indies added 137 runs for the loss of openers Chris Gayle and Kraigg Brathwaite in the playing time available under overcast skies.
When the weather closed in after 15 minutes' play in the post-lunch session, Kirk Edwards (42 not out) and Darren Bravo (8 not out) were seeking to build on the promising position.
Brathwaite emerged as the unlikely hero of the morning, stroking his way to 68 to follow up his "Man of the Match" innings of 129 in the second Test in Trinidad the previous week before falling to fast-medium bowler Neil Wagner just before lunch.
He put on 79 for the first wicket with Chris Gayle and continued to score freely in another useful second-wicket stand with Kirk Edwards that produced 74 runs before a mis-timed off-drive was well held by Tim Southee diving low to his left at cover.
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Like Brathwaite, whose innings spanned 116 deliveries and included ten fours, Edwards continued in the positive vein that brought him 55 in the first innings at Queen's Park Oval.
He struck Craig for six over long-off to set the tone for his innings, prompting New Zealand captain Brendon McCullum to introduce part-time spinner Kane Williamson, whose bowling action was reported as suspect by the umpires during the second Test.
McCullum appeared to request a television review of the umpire's "not out" verdict but immediately cancelled it on consultation with his team-mates.