In a large, lidded pot add all the ingredients. Over medium-high heat bring the mixture to a boil. Reduce heat to a simmer, cover, and cook for 10 minutes.
Place a fine mesh strainer over a medium bowl. Pour in the strawberry mixture, and work the mixture through the strainer. Use a wooden spoon to press the strawberries to release their liquid. Place strawberry solids in a container to use later (perhaps freezer jam).
Return the strawberry liquid back to the pot. Bring to a boil over medium-high heat, then reduce to a low boil. Continue to boil, with the lid off, for about 15-20 minutes, or until the mixture thickens to a syrupy consistency.
Let the syrup cool to room temperature, about 1-2 hours (it will thicken even more as it cools). Finally, pour the syrup in sterilized jars or bottles.