Mix all ingredients except rose water in a heavy medium pot. Cook over low heat, stirring occasionally, until fruit releases juices, about 30 minutes. Continue to cook, stirring as needed to prevent sticking, until thick and slightly darker, about 1 1/2 hours. Stir in rose water.
Chill jam in airtight containers up to 1 month, freeze up to 6 months, or process according to Sunset canning methods (sunset.com/canning).