Slice eggs in half lengthwise, and carefully remove yolks, keeping egg whites intact.
Mash together yolks, mayonnaise, and next 4 ingredients until smooth using a fork. Spoon yolk mixture into egg white halves. Cover and chill 1 hour before serving.
"The Pig Skin" Deviled Eggs: Prepare recipe as directed, stirring in 1 Tbsp. finely chopped green onion, 3 Tbsp. sweet pickle relish, and 1 tsp. Asian Sriracha hot chili sauce with mayonnaise in Step Top eggs with pickled okra slices and chopped pork crackling strips.