There is no one single resort that has boat and/or monorail transportation to every single park.
If you stay at one of the monorail resorts - Polynesian, Grand Floridian or Contemporary - you can boat or monorail to Magic Kingdom (from the Contemporary, you can even walk). You can also access a monorail to Epcot.
If you stay at one of the Epcot resorts - Boardwalk, Beach Club, Yacht Club or the non-Disney owned Swan and Dolphin - you can boat or access a walkway to both Epcot (through its "back door" at the International Gateway) or the Disney Studios (at the front gate).
That's it as far as non-bus access to the parks, unless of course you use your own car.
All the monorail resorts, the Beach Club and the Boardwalk all have some manner of "villa," but none of them will accommodate a party your size. You will be better off breaking the group up into two or 3 parties. Standard rooms, depending on the resort, will sleep 4 or 5. 1 Bedroom Villas, same deal, 4 or 5. 2 Bedroom units will sleep 8 or 9, and Grand Villas sleep up to 12.
Good luck.