Let $$y^{2} = 12x$$ be the parabola and S be its focus. Let PQ be a focal chord of the parabola such that (SP)(SQ) = $$\frac{147}{4}$$. Let C be the circle described taking PQ as a diameter. If the equation of a circle C is $$64x^2 + 64y^2 - \alpha x - 64\sqrt{3}\,y = \beta$$, then $$\beta - \alpha$$ is equal to ________.