Combine the strawberries, peaches, blueberries, cherries, and pectin in a heavy saucepan. Bring to a full rolling boil over medium heat, stirring constantly. Cook for 1 minute. Add the honey and lemon juice. Return to a rolling boil and cook for 5 minutes, stirring constantly. Remove from the heat and skim off the foam. Ladle into sterilized jars, seal, and process in a boiling-water bath for 10 minutes.