To prepare for water-bath canning:
- Wash jars and lids in hot soapy water; rinse with warm water.
- Fill canning pot half full of water; add jars and water to cover. Bring water to a boil, reduce heat and simmer.
- Place lids in water to cover in a small saucepan; bring water to a simmer. Simmer until ready to use.
- Remove and drain jars and lids, one at a time, as needed for filling.
To make the jam:
- Peel, pit, and finely chop peaches; measure exactly 3 cups fruit.
- In a large, heavy stock pot, combine crushed peaches, water, and pectin; stir until pectin dissolves. Let stand 10 minutes.
- Bring mixture to a full rolling boil (a boil that doesn’t stop bubbling when stirred) over high heat, stirring constantly. Boil 1 minute, stirring constantly. Remove from heat; add Splenda Sweetener, stirring until sweetener dissolves. Skim off any foam.
To can the jam:
- Ladle hot jam immediately into prepared jars, leaving ½” of headspace at top of jars. Wipe jar rims and threads. Cover with 2-piece lids; tighten bands.
- Place jars on rack in canning pot. (Water must cover jars by at least 1”; add boiling water, if necessary.) Cover; bring water to a gentle boil.
- Process for 10 minutes. Remove jars and place upright on a towel to cool completely.
- After jars cool, check seals by pressing center of lid with finger. (If lid springs back, lid is not sealed and refrigeration is necessary.)
- Store in a cool, dark place for up to 1 year. Once opened, store refrigerated and use within 2 weeks.