Consider the circle $$C : x^2 + y^2 - 6x - 8y - 11 = 0$$. Let a variable chord AB of the circle C subtend a right angle at the origin. If the locus of the foot of the perpendicular drawn from the origin on the chord AB is the circle $$x^2 + y^2 - \alpha x - \beta y - \gamma = 0$$, then $$\alpha + \beta + 2\gamma$$ is equal to __________.