Add chopped tomatoes to a heavy-bottomed pot. No need to peel, just core and chop.
Stir in brown sugar, salt, ginger, cinnamon, cloves, diced jaljalapeño, vinegar, and lemon juice.
Bring mixture to a boil over medium-high heat, then reduce to low. Simmer uncovered, stirring occasionally, for 1 to 1½ hours, or until thickened and jammy. It should reduce by at least half. Taste and adjust seasoning if needed.
Let cool slightly, then transfer to clean jars. Keep refrigerated for up to 2 weeks, or, if you plan to can it, be sure to follow the latest safe canning guidelines for tomato jam.