Fill the 10 quart stockpot with the washed cranberries and chopped apples.
In the 6 quart stockpot, bring the sugar, cinnamon, allspice, cloves, and water to a boil, stirring to prevent the sugar from burning on the bottom of the pot. Simmer for 5 minutes to thicken the syrup.
Pour the hot syrup into the cranberry and apple pot and turn on medium heat. Bring to a simmer, stirring often. Once the cranberries begin to pop and the mixture is hot, mash the cranberries with a potato masher.
Add the rum to the cranberry sauce and stir to combine.
Canning
Wash the jars, lids, and rings in hot soapy water.
Fill the water bath and bring to a boil.
Using the food funnel, fill each jar with the cranberry rum sauce, leaving 1/2 inch headspace.
Run the bubble popper through the sauce to release any trapped air and adjust quantity if needed.
Wipe the rim of the jars with a clean, dry paper towel.
Place the lids on the jars and tighten the rings fingertip tight.
Using the jar lifter, place the jars into the boiling water bath, cover, and process for 15 minutes.
Remove the jars to a towel lined cutting board and allow to rest for 12 hours. Label and date the jars and store in a cool, dry place. If any jars did not seal, refrigerate and use first.