Remove the skins and stems of the tomatoes. Blitz in the blender until no large chunks are left. Dump into an 8 quart stock pot.
Chop peppers and jalapeños with the stems removed on low speed in small batches until finely chopped. And add to the pot. For a mild salsa, remove the seeds from the jalapeños. Wear gloves to protect your hands when dealing with hot peppers.
Remove skin and stems from the onion and garlic and chop finely. Add to the pot.
Turn the burner on to medium and mix the veggies to combine.
Add in the vinegar, salt, and black pepper. Use sea salt or picking salt. Just be sure that whatever salt you use is pure salt that doesn't have any anti-caking agents in it.
Add in the cans of tomato paste. And mix well.
Let the salsa simmer for 1 1/2 hours. Stirring frequently to prevent sticking and burning.
After about an hour, gather all your canning supplies: a large canning pot with a rack, 6-7 quart size jars, or 12-14 pint size jars, a jar lifter, magnet stick, lids and rings for the jars, ladle, canning funnel, dish towel, paper towel.
Fill canning pot with hot water, place the cover on, and bring water to a low boil on high heat.
Wash jars with hot, soapy water. Then, place in the canning pot filling half with water and let simmer for 10 minutes to sterilize.
Remove jars from the pot and place on the towel. Add the canning lids to the pot to warm.
Use the funnel and ladle to fill jars leaving a half inch space at the top. Wipe the rims of the jars clean with a paper towel dipped in the boiling water.
Place lids and rings on the filled jars and tighten finger tight.
Put the jars back into the canning pot and bring back to a light boil.
Process pint jars for 35 minutes and quart jars for 45 minutes.
Remove from canning pot and place the jars back on the towel. Let sit 12-24 hours before checking the seals. Do not re-tighten the rings or move the jars.
Label and remove rings. Then, store away to enjoy all winter!
If any jars did not seal, place them in the refrigerator and use them within 2-3 weeks.
Once jars are opened, store in the refrigerator.
Enjoy!!