What's the highest T20 score by a batter without any fours?
Also: what's the record for most consecutive wins from the start of a captaincy career?

Shimron Hetmyer's 39-ball 91 in the CPL contained 11 sixes but no fours • Randy Brooks/CPL T20/Getty Images
You're right that Shimron Hetmyer's 91 for Guyana Amazon Warriors in their CPL match against St Kitts and Nevis Patriots in Basseterre a couple of weeks ago contained no fours. We should perhaps mention that he did manage no fewer than 11 sixes, though!
A performance in a T20I leads the way here. Playing for Gibraltar against Bulgaria in Valletta (Malta) in 2022, Avinash Pai (86 not out) and Louis Bruce (99 not out) batted through the innings for an unbroken opening partnership of 213.
You're right that Pakistan's second innings against India in Karachi in 2006 contained seven scores of 50 or more. Actually, it was the top seven in the order: Salman Butt 53, Imran Farhat 57, Younis Khan 77, Mohammad Yousuf 97, Faisal Iqbal 139, Shahid Afridi 60 and Abdul Razzaq 90. The total was enough for Pakistan to win by 341 runs - quite a comeback considering they had been 0 for 3 in the first over of the match, after a hat-trick from Irfan Pathan.
England's stand-in captain Ollie Pope won his first two Tests in charge, before coming a cropper in the third, at The Oval last week. Over the years, 23 captains won their first three matches in charge: six of them are from England, the most recent being Brian Close in the mid-1960s. The most recent from any country is Pope's opposite number, Dhananjaya de Silva, earlier this year.
Thanks for pointing that out: it's not the first time I'd forgotten that fast bowler Boyd Rankin, who played county cricket for Derbyshire and Warwickshire, played a Test for England (against Australia in Sydney in 2014), as well as two for his native Ireland.
Steven Lynch is the editor of the updated edition of Wisden on the Ashes