Southee, Somerville and Ajaz took three wickets apiece to earn Kiwis a fantastic 123-run victory over Pakistan to take the series 2-1.
Kane Williamson scores unbeaten ton puts visitors in command after Yasir Shah creates history.
He broke 82-year-old record, Australian Grimmett set the previous record in 1936 when he took 200 wickets in 36 matches.
Azhar Ali and Asad Shafiq slam centuries to give hosts upper-hand on third day of final Test.
Pakistan batsman Mohammad Hafeez has announced that he will retire from Test cricket at the end of the ongoing Test against New Zealand in Abu Dhabi.
The hosts were 139/3 at stumps on second day, 135 runs adrift of the Black Caps total.