Stuffed eggs are often served warm in France, and this recipe is similar to one from the Périgord region. If you plan to dye Easter eggs, cook extras for this dish.
Place eggs in a large saucepan. Cover with water to 1 inch above eggs; bring just to a boil. Remove from heat; cover and let stand 12 minutes. Drain and rinse with cold running water until cool.
Peel eggs; slice in half lengthwise. Remove yolks; discard 4 yolks. Place remaining 4 yolks in a medium bowl. Add ham and next 7 ingredients (through pepper); stir until combined.
Place bread in a food processor; pulse 10 times or until coarse crumbs measure 1 cup.
Spoon about 1 teaspoon yolk mixture into each egg white half. Top each half with 1 tablespoon breadcrumbs. Coat breadcrumbs with cooking spray.
Place eggs on a baking sheet; broil 1 minute or until breadcrumbs are toasted. Garnish with thyme leaves, if desired.
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