Add to a pot along with black peppercorns, mustard seeds, turmeric, salt, sugar and apple cider vinegar. Bring it to a boil and take it off heat.
Peel the hard boiled eggs and transfer to a clean glass jar.
Pour the hot brine over the eggs.
Add enough brine to almost entirely cover the eggs.
Top with a lid and let it cool completely. Cover and refrigerate for 1-2 days before serving.
Notes
Make sure the brine comes to a rolling boil before you take it off heat.
Just like most other pickled foods, the longer these sit in the refrigerator, the better they'll taste. I would recommend giving them at least a day to chill and for the eggs to soak up all those delicious flavors from the brine.
If you want the jalapenos to have a bit of a crunch, you can skip adding them to the brine and just transfer them to the jar along with the hard boiled eggs.
You can also experiment with other mix-ins like sliced red onions, coriander seeds, carom seeds and fresh dill to add extra flavor to the jalapeno pickled eggs.