I've not canned them.
Most of the recipes for canning them are actually to be stored in the refrigerator for 3-4 weeks and not long term storage. Those recipes may be a health hazard in long term storage.
9 out of 10 university extension recipes are for refrigerator storage.
Having said that, I found one recipe for long term (6 months) storage for canning eggs here:
It says you can change spices but not sugar, vinegar, times or temperatures.
Good luck and let us know how they turn out.