Fill a medium bowl with ice water. Place eggs in a medium saucepan; add water to cover by 1 inch. Bring to a boil over high. Reduce heat to medium; simmer 8 minutes. Using a slotted spoon, remove eggs from water; plunge into ice water. Let cool completely, about 10 minutes. Remove from water, and peel eggs.
Place peeled eggs, mayonnaise, and mustard in a food processor; process until very smooth, about 1 minute, stopping to scrape down sides as needed. Season with salt and white pepper.
Transfer mixture to a large ziplock plastic bag. Snip the tip off one corner of bag to form a ¼-inch opening. Pipe mixture in a zigzag design onto crackers (about 1 tablespoon per cracker).
Top with jalapeño slices, Urfa biber, and lime zest. Transfer to a platter or board, and serve.
