Sorry, but your requirements do not suit any breed of dogs from puppyhood. ALL Puppies need socialization and care suited to the babies they are.
If you are determined to get a dog, you could look into adopting an older dog who doesn't need the same amount of togetherness a puppy does. S/he might be content to while away the days lazing on the back porch.
BUT it would be a crapshoot, since many adult dogs are surrendered between a year to 3 years old for ill behavior after being left alone or poorly trained in their original households to become bored and destructive. There would be a period of adjustment which may or may not be time consuming, troublesome, or destructive.
In a busy household of 15, the dog could easily be shunted to the backyard. In fact, that sounds like what you plan on doing. That's a pity. They're not whim creatures. They really need the companionship. If there is no one present in the household for long hours during the entire week, it's best not to bother with getting one. It's a cruel thing to do. :(
Might I suggest you get a cat? :) They don't need the time, companionship, and effort a well behaved dog needs by its nature.
regards,
toodles