New Zealand were aiming for an early finish to the first Test against the West Indies after Colin de Grandhomme cracked his maiden Test century off just 71 balls to leave the tourists reeling at stumps on day two in Wellington on Saturday.
Resuming on an overnight score of 214 for two, West Indies suffered an embarrassing batting collapse and thus were all-out for 319 runs in their second innings.
Brathwaite shared partnerships of 72 for the first wicket with Kieran Powell (40) and 94 for the second with Shimron Hetmyer (66) and appeared to be the main obstacle to New Zealand's effort to take a 1-0 lead in three test series. The Jason Holder-led side lost their last eight wickets for just 88 runs as thus failed to make New Zealand bat again.
Roach, who also took the valuable wicket on Kane Williamson for one on the first day, was the most expensive of the West Indies bowlers with figures of two for 49 off 13 overs.
Windies were further humiliated after New Zealand declared their innings on 520 for nine.
Permutations ahead of final round for last-16 qualification
Basel can qualify if they can better CSKA's result, the Swiss side will take on the bottom of the table Benfica away from home. Ahead of its visit to Real Madrid on Wednesday, Dortmund has just two points from five games, the same as Cypriot team APOEL.
It was the wicket of Brathwaite that set West Indies' slide into motion in this session.
After facing 221 balls, the most by any batsman in the Test, the West Indies opener was too slow bringing his bat down on a straight delivery from spinner Santner which rapped him on the pads, ending a 65-run stand with Shai Hope.
But just like they did in the first innings, after going from 59-0 to all out for 134, the Windies capitulated as Matt Henry (3-57), Trent Boult (2-87), Colin de Grandhomme (2-40), Neil Wagner (2-102) and Mitchell Santner (1-25) tore through the visitors easily.
Roston Chase (18) followed three overs later, his attempt to cut Henry's ball resulting in an inside-edge onto the stumps, leaving the Windies 286-5 at lunch. Sunil Ambris, who was out hit wicket to the first ball of his test career in the West Indies' first innings of 134, was 18 not out at lunch and wicketkeeper Shane Dowrich, coming off a century in his most recent test against Zimbabwe, is 3 not out.
The two sides now meet in the second Test at Seddon Park in Hamilton from December 09 onwards.