Bring 12 eggs to a boil and then simmer for 10 minutes.
Remove boiled eggs from water and place in a bowl of ice water for at least 5 minutes to cool eggs.
Peel eggs underwater (in a bowl of room temperature water) to prevent the egg white from sticking to the shell.
Place peeled eggs on smoker and smoke for 15-20 minutes at 180°F with mesquite or hickory wood.
Slice eggs in half lengthwise and remove egg yolk into a small bowl. Add mayo and mustard to egg yolks and mash / mix really well with a fork until smooth and creamy.
Using a spoon or piping bag, fill the egg halves with yolk mixture and top with desired toppings.
Serve on a dark platter for the best visual appearance.
Notes
Use fresh eggs for the best flavor
Peel eggs under water
Prevent green egg yolks by not boiling/smoking too long