Look at Miguel's page, it lists the contracts.
The Patriots have always had a substantial middle class. They are the league leader in middle class contracts.
Thuney, Gilmore and Edelman really counted a lot against the cap. But so did Brady and Antonio Brown. Those 5 players alone were $66m in cap money this year.
Add in a bunch of dead money from Gost, Michael Bennett, Harmon, etc and it adds up. $7m
Not to mention the bigger cap hits from Shaq Mason, lawrence Guy, both McCourtys, Jonathan Jones, Andrews and James White. All these guys are $43m. You're at $116m.
You have another 18 guys who are middle class. These guys don't even exist on other teams. After other teams pay the stars, they dole out sub $1m contracts to the rest. Whereas the Patriots have 18 guys averaging around $2.2 to $2.4m. That's $40m other teams don't even pay.