Rinse turkey and remove any giblets.
Place turkey in a large pan.
Add warm water to a large bowl.
Add 1 cup kosher salt, lemon peel, peppercorns and rosemary.
Stir until salt is dissolved.
Pour over turkey.
Cover and refrigerate 4- 8 hours.
Prepare grill with hickory grilling wood and an offset fire for indirect heat.
Remove turkey from brine, drain and pat dry with paper towels.
Mix butter, minced garlic, minced rosemary, 1/2 teaspoon kosher salt and pepper.
Rub between the skin and the meat of the turkey and inside the cavity. Or melt butter and herbs together and baste between skin and meat and inside cavity. Pour remaining butter and herbs over skin.
When grill is heated to 250 degrees, place turkey over indirect heat.
Cook for 1 to 11/2 hours. Remove from grill and wrap in peach butcher paper and return to grill.
Continue to cook until internal temperature in the thickest part of the breast is 165 degrees about 1 - 1 1/2 hours.
Remove from grill, cover with foil loosely. Allow to rest 20-30 minutes before carving.