Prepare tomatoes, chiles, onion, jalapeño, and garlic as specified. Wear gloves while handling hot peppers.
Combine all ingredients in a large saucepan and heat, stirring frequently, until boiling.
Reduce heat and simmer 20 minutes, stirring occasionally.
Ladle hot salsa into clean, hot pint jars, leaving 1/2-inch headspace. Remove air bubbles, adjust headspace, wipe rims, and apply lids.
Process in a boiling-water canner according to altitude: 15 minutes at 0–1,000 ft, 20 minutes at 1,001–6,000 ft, and 25 minutes above 6,000 ft.