Prepare the boiling water canner. Heat jars in simmering water until ready to use, do not boil. Wash lids in warm soapy water and set aside with bands. Place peaches in a wide heavy-bottomed saucepan. Use a potato masher to gently break peaches down.
Combine all ingredients, except toasted almonds, in a saucepan, and bring to a boil over medium heat. Stir jam frequently until it thickens and reaches the gelling point (220°), about 15-20 minutes. Stir in toasted almonds.
Ladle hot jam into a hot jar leaving a 1/4 inch headspace. Remove air bubbles. Wipe jar rim. Center lid on the jar and apply band, adjust to fingertip tight. Place jar in boiling water canner. Repeat until all jars are filled.
Process jars 10 minutes, adjusting for altitude. Turn off heat, remove the lid, let jars stand for 5 minutes. Remove jars and cool for 12-24 hours. Check that lids are sealed, they should not flex when the center is pressed.