1. Place potatoes in a large pot of water, and bring to a boil. Reduce heat, and simmer until tender, about 20 minutes. Drain and let cool 2 hours.
2. Combine mayonnaise and next 3 ingredients in a small bowl. Stir in 1 tablespoon vinegar, sea salt, and pepper.
3. Halve potatoes, and sprinkle with remaining 2 tablespoons vinegar. Toss together gently with celery, egg, pickle, and dressing. Season with additional sea salt and pepper, if desired; serve at room temperature, or chill until ready to serve. Garnish with additional dill, if desired.