In a blender, puree until smooth the jalapeno pepper, 4 cloves garlic, vegetable oil, tomato paste, salt, honey and juice of 1 1/2 limes. Pour marinade over the chicken. Add the lime zest and toss to coat. Cover with plastic wrap and refrigerate overnight.
Preheat boiler to medium heat.
Arrange chicken on a baking sheet lined with parchment paper. Broil chicken at least 6 inches from the heat for 4 to 5 minutes per side; or until chicken is crispy on the outside and cooked through. Serve with Avocado Dip.
Pit and peel avocado. Place avocado in a medium bowl; mash. Fold in 3 tablespoons chopped fresh cilantro leaves; 1 1/2 teaspoons lime juice, 1 clove garlic and salt; and freshly ground black pepper, to taste.