Circle

Let the lines \(y + 2x = \sqrt {11} + 7\sqrt 7\) and \(2y + x = 2\sqrt {11} + 6\sqrt 7\) be normal to a circle \(C:{(x - h)^2} + {(y - k)^2} = {r^2}\). If the line \(\sqrt {11} y - 3x = {{5\sqrt {77} } \over 3} + 11\) is tangent to the circle C, then the value of \({(5h - 8k)^2} + 5{r^2}\) is equal to __________.