You might try this free tutorial.
http://www.quilting-tidbits.com/lone-star-quilt.html . This tutorial says it is for a queen/king size quilt. If you want borders like in the posted image you will probably have to come up with that portion of the pattern yourself.
I have made 2 Lone Star Quilts using the strip piecing technique as mentioned in the above tutorial (not that tutorial but one very similar).
You might also want to pick up a copy of Lone Star Quilts and Beyond by Jan Krentz. I don't think it has a pattern for a king size but it has lots of useful information for lone star/Bethlehem star quilts.