Let the image of the point P(1, 6, a) in the line L: $$\frac{x}{1} = \frac{y - 1}{2} = \frac{z - a + 1}{b}$$, $$b > 0$$, be $$\left(\frac{a}{3}, 0, a + c\right)$$. If S($$\alpha, \beta, \gamma$$), $$\alpha > 0$$, is the point on L such that the distance of S from the foot of perpendicular from the point P on L is $$2\sqrt{14}$$, then $$\alpha + \beta + \gamma$$ is equal to:

A

19

B

20

C

21

D

22