In a small bowl combine the mayo, minced dill, vinegar, pressed garlic clove, salt and pepper. Mix until combined, cover in plastic wrap and stick it in the fridge for at least one hour.
MAKE THE BURGERS:
In a large bowl combine the ground turkey, minced parsley and dried herbs.
Add the minced olives, roasted red bell pepper and onions to that as well. Then add crumbled feta, squeeze in a clove of garlic through a garlic press and mix by hand until everything comes together.
Form into 4 (or 6 depending on size) patties.
Heat a large griddle {you can use a skillet or grill too just make sure they are well oiled} to 375 degrees. Spread olive oil over top and cook each burger for 6-8 minutes on the first side. Flip and repeat for 4-6 more minute or until the burger is fully cooked.
Spread some of the garlic dill mayo on one side of the pita bread quarters. Top with the Greek turkey burger, lettuce, red onion, cucumber and tomato. Top with another pita quarter.