Heat one inch water to boiling in a Dutch oven. Add the potatoes. Cover and heat to boiling; reduce to a simmer. Simmer for 30 – 35 minutes or until tender. Drain. Cool slightly. Cut into cubes. Mix mayonnaise, vinegar, mustard, salt and pepper in a large bowl. Add the potatoes, celery, onions and chilies. Toss. Cover and refrigerate until chilled.