Cut off the narrow end of the hard-boiled eggs about ⅓ of the way down from the top.
Flatten the bottom of the eggs by cutting a very thin layer of egg white off of the rounded bottom making a flat spot.
Remove the eggs yolks with a small spoon, placing them in a bowl. Set the eggs aside.
Add mayonnaise, pickle juice, dry mustard, and salt to the egg yolks and stir until smooth and well combined. If you want extra smooth, creamy eggs you can use an immersion blender.
Place the yolk mixture in a pastry bag and pipe the filing into each egg.
Cut the bell pepper into 1 inch wide slices and cut 24 curved pieces from them to make horns.
Gently press the flat end of two horns into the egg yolk of each egg.
Store in the refrigerator until ready to serve. Right before serving sprinkle with a tiny bit of sweet paprika.