This number, from Vela, came via a discussion with Sturm of the Ticket. In the same period, the Pats have 25 (!!). Giants and Iggles tied at 19 and Redskins are league-worst at 13.
You can't keep pace with guys like Newsome, Reece and Belichick when they get one to two more early round picks than your team every year unless you hit it big in free agency.
It's a vicious cycle towards mediocrity.