Clean under cold water all of the vegetables and pat dry.
Dice the cloves of garlic, parsley, celery ribs and leek.
Cut into chunk size pieces the potatoes, onion and tomatoes.
Place all of the vegetables into a non-aluminum 4-quart large pot and fill with distilled water. Using just enough water to cover the vegetables.
Bring vegetables to a boil, stirring occasionally.
Turn down to low heat and cover pot. Cook for one hour and fifteen minutes or until all vegetables are soft, stirring occasionally,
Turn off and remove from heat. Gently stir the cooked vegetables.
Using a food processor, in batches puree the vegetables. Be very careful as there may still be high heat from cooking. You can let soup cool slightly.
After each batch has gone through the food processor, pour it through a sieve, Catching the fibers.
Notes
Store any leftovers in an airtight container in the refrigerator for up to a couple of days. It can be reheated in the microwave oven and enjoyed later as well.