KARACHI: Kane Williamson hit his fifth Test double century and tailender Ish Sodhi made a career-best 65 as New Zealand pushed Pakistan onto the backfoot with a meaningful 174-run lead on the fourth day of the first Test on Thursday. Williamson and Sodhi dug in for well over 1 1/2 hours into the second session after New Zealand resumed on 440-2 before Pakistan claimed three quick wickets through spinners. Both put on 79 runs in the first session and batted with a lot of determination even when Pakistan took the second new ball. Sodhi batted with a lot of patience and hit three boundaries against seamer Mir Hamza on the off side of the wicket after Pakistan took the third new ball. New Zealand’s lead was 24 when Nauman came close to dismissing Williamson on 116 in his second over of the day.