Add the lime zest, lemon zest, salt, pepper, and garlic to the bowl of a food processor. Pulse a few times until the garlic is broken into little bits, then add the basil, cilantro, parsley, chives, and thyme. run the motor for about 5 seconds to get everything moving, then slowly stream in the olive oil until everything is well combined.

Transfer marinade to a zip-top bag with the shrimp, seal the bag, then squish everything around until the shrimp are all fully coated. Marinate in the refrigerator for at least 1 hour, or up to overnight, turning the bag every so often to make sure the shrimp are marinating evenly.

When ready to cook, preheat a grill to medium-high heat. If using wooden skewers, be sure to let them soak in warm water for at least 30 minutes prior to cooking so they don’t catch fire.  Remove shrimp from the marinade, then place 3-4 of them on each skewer.

Grill shrimp for about 2-3 minutes on each side, depending on size, or until they’re slightly charred on the outside and pink / opaque throughout. Be careful not to overcook, as the shrimp will turn rubbery and tough. Garish with any leftover herbs and a few lemon and lime wedges. Serve immediately.