I'm guessing that you will all start at the Mexico/Arizona border and hike NOBO 10 days. Depending on your pace, you may then get through Passage #9 - Rincon Mountains (at a pace of about 15 miles a day). If you plan on staying at Manning Camp or Grass Shack (the only 2 places within Saguaro National Forest that you can camp), then you'll need permits. So, a group of 10 on the trail is certainly do-able, but you may want to look at your planned mileage and then follow up on the permits. And by the way, the Rincons should be beautiful about then!