If $$x^{2} - \frac{1}{x^{2}} = 4\sqrt{2}$$, what is the value of $$x^{4} - \frac{1}{x^{4}}$$?

A

$$16\sqrt{2}$$

B

$$8\sqrt{2}$$

C

$$24\sqrt{2}$$

D

$$32\sqrt{2}$$