Interesting question - but please provide some more information. Will you be camping? - if so, a tent and sleeping bag appropriate for conditions are high on the list. Is there an internet connection? Cell phone capability? What will you be doing? You will need appropriate equipment for the task.

I like this question because I am currently assembling gear for an isolated digging project where resupply will be difficult, essentially not possible. We will be out for only a week, which helps a lot.

Whatever else is occurring, I would be sure to pack a good camera and accessories, a good notebook and writing instrument, at least a backpack of about 3000 cu in capacity, a good headlamp, and my fully accessorized Leatherman Wave. I would probably take my cell phone just for its ancillary functions and some means of charging the electronics (probably solar)