Hyderabad have twice broken records this season with IPL totals of 277 and 287 and threatened to breach the mark once again at Delhi's Arun Jaitley Stadium.
Delhi skipper Rishabh Pant won the toss and put Hyderabad into bat on a batting-friendly pitch, which produced the fourth highest total of the T20 tournament.
Delhi, were bowled out for 199 in 19.1 overs with left-arm quick T Natarajan returning impressive figures of 4-19.
Hyderabad jumped to second spot behind Rajasthan Royals with five wins in seven matches.
Head remained the hero after he blasted a 16-ball 50 in an explosive opening stand with fellow left-hander Abhishek Sharma to tear into the opposition attack as Hyderabad reached 100 in five overs and 125 in six.
Head and Sharma hit 12 sixes between them as the innings witnessed a joint IPL record of 22 hit over the fence and Hyderabad equalled their effort from the previous match when they smashed 287-3 in a win over Royal Challengers Bengaluru early this week.
Left-arm wrist spinner Kuldeep Yadav checked the carnage with two wickets in the seventh over as he sent back Sharma, out for 46 off 12 balls, and then Aiden Markram, for one.
Hyderabad then lost two wickets in the space of two deliveries after Kuldeep dismissed Head and fellow spinner Axar Patel bowled Heinrich Klaasen, for 15, at the start of the next over.
Shahbaz Ahmed then steadied the innings and kept up the attack as he hammered an unbeaten 59 off 29 balls.
Ahmed, a left-handed batsman, put on 67 runs with Nitish Kumar Reddy, who made 37, before Kuldeep dismissed Reddy to finish with four wickets.
Hyderabad lost two wickets in the final over including skipper Pat Cummins to a run out but Ahmed reached his first IPL fifty with a four and ended the innings with a six.
Washington Sundar came in as the impact player in place of Head as Hyderabad added a spinner to defend the total.
Sundar opened the bowling and was hit for four straight boundaries by Prithvi Shaw, who was Delhi's impact player, but got his revenge on the fifth when he dismissed the opener for 16.
David Warner fell to Bhuvneshwar Kumar for one before up and coming Australian batsman Jake Fraser-McGurk hit an 18-ball 65 and put on 84 runs with Abhishek Porel, who hit 42.
Leg-spinner Mayank Markande dismissed the two and the rest of the batting failed to live up to the challenge despite Pant's 44.
