If $$\left(x - \frac{1}{x}\right) = 2\sqrt{2}$$, and $$x > 1$$, what is the value of $$\left(x^6 - \frac{1}{x^6}\right)$$?

A

$$372\sqrt{6}$$

B

$$384\sqrt{6}$$

C

$$396\sqrt{6}$$

D

$$420\sqrt{6}$$