Right now (pending the SNF/MNF games) the Pats are #20.
Unfortunately for the Pats right now, JAX and TEN own #1 and #2, since they have the two worst SOS values right now.
I say unfortunately because the picks cycle from round to round: the first team with a given record in the first round is the last team with that record in the second round.
So, right now, among the winless teams:
1. Jacksonville 0.414
2. Tennessee 0.483
3. Miami 0.516
4. Cleveland 0.531
5. St. Louis 0.548
6. Kansas City 0.567
7. Detroit 0.594
8. Tampa Bay 0.655
9. Carolina 0.655
Obviously, this is subject to change, but that means the Patriots have #33 and #41.