Slice eggs in half lengthwise, and carefully remove yolks from 8 egg halves; mash yolks in a bowl. Discard remaining 8 yolk halves.
Finely chop 4 egg white halves, and add to the mashed yolks. Set aside remaining 12 egg white halves.
Spoon yogurt onto several layers of heavy-duty paper towels; spread to 1/2-inch thickness. Cover with additional paper towels; let stand 5 minutes. Scrape into yolk mixture, using a rubber spatula. Add relish and next 3 ingredients, and stir well.
Spoon about 1 tablespoon yolk mixture into each egg white half. Cover and chill 1 hour. Sprinkle with paprika.
Each serving is 1 filled egg half.
Per serving: 57 Calories (kcal); 3g Total Fat; (48% calories from fat); 5g Protein; 2g Carbohydrate; 125mg Cholesterol; 100mg Sodium