Prepare the eggs, garlic, and jalapeno. Boil a dozen eggs over high heat (12 minutes or so). Allow them to cool completely before peeling. While the eggs are cooling, peel the garlic cloves and slice the jalapeno peppers.
Pour and wait. Pour the hot vinegar mixture over top of the eggs. Wait for about 30 minutes. Put the lid on the jar and wait for it to cool completely.