Place eggs with enough water to cover in medium-sized saucepan. Bring to boil; reduce heat to simmer for 10 minutes. Drain; hold under cold running water to cool. Peel; halve crosswise. Remove yolks and reserve for another use.
Cut celery, green onions, red pepper and turkey into 1-inch cubes. Place in food processor. Whirl with on-off pulses until finely chopped; do not over process. Scrape into medium-size bowl. Sit in mayonnaise, mustard, vinegar, sugar and salt.
Spoon 1 rounded tablespoon into hollow of each egg half. Serve, or refrigerate up to 12 hours.