The Jets have two 6th- round picks, with the first one (#191) overall they selected Texas A&M punter Braden Mann. He can also handles kickoffs, he did that in college. Joe Douglas seems to be putting a premium on leadership and Braden Mann was a team captain last season.
Mann was the premier field-flipper in all of college football with the touch and talent to stick opposing teams near their end zone on pooch kicks. He offers additional value handling kickoffs and is an above average open-field tackler. He may need to sacrifice some distance for more hang-time to prevent out-blasting his coverage, but he has a chance to become a top-five punter in the league.