What is the value of $$\left(k + \frac{1}{k}\right) \left(k - \frac{1}{k}\right) \left(k^2 + \frac{1}{k^2}\right) \left(k^4 + \frac{1}{k^4}\right)$$?

A

$$k^{16} + \frac{1}{k^{16}}$$

B

$$k^{16} - \frac{1}{k^{16}}$$

C

$$k^{8} - \frac{1}{k^{8}}$$

D

$$k^{8} + \frac{1}{k^{8}}$$