Bring a large pot of water to a boil and add two tablespoons of salt.
Cut the potatoes into quarters and then cut each quarter into chunks that are roughly one inch big. Add the potatoes to the boiling water and let cook until potatoes can be easily pierced with a fork, about 8-10 minutes.
Meanwhile, stir together the pickle juice, vinegar, mustard and olive oil and toss in a large bowl with the cooked potatoes, pickles, celery, white onion, and dill.
Grant Melton is an Emmy Award-Winning Producer of the Rachael Ray Show, food writer and recipe developer. He's a contributor to Food52, Food Network Kitchen and Rachael Ray Every Day Magazine. His favorite food is chocolate chip cookies (with salt.)