I'm going plant shopping today. It's markdown season!
One of my new purchases this spring is Moonlight Strawberry Blush. It has the light center and the rest of the petals are pink (almost red) like yours, but only a very thin edge is light pink. They are probably cousins! I used them as the center plant in a couple of my barrels, with white and blue/purple. I keep trying for red, white and blue combinations, and now I have the right red from cuttings I got from my daughter.
Those cuttings are busy growing roots, even some of the bare sections of the stems are sprouting leaves! I planted a few just to see what would happen!
