2. In a large nonreactive saucepan, gently stir together the berries, lime zest and juice, lemon juice and sugar. Bring to a boil over medium-high heat, reduce the heat to medium and cook, uncovered, stirring frequently, until the jam has thickened, about 15 minutes. It will continue to thicken as it cools.
3. Ladle the hot jam into the jars, leaving 1/4 inch of headspace. Remove any air bubbles and adjust the headspace, if necessary. Wipe the rims clean and seal tightly with the lids.