If the maximum value of $$a$$, for which the function $$f_a(x) = \tan^{-1}(2x) - 3ax + 7$$ is non-decreasing in $$\left(-\dfrac{\pi}{6}, \dfrac{\pi}{6}\right)$$, is $$\bar{a}$$, then $$f_{\bar{a}}\left(\dfrac{\pi}{8}\right)$$ is equal to

A

$$8 - \dfrac{9\pi}{49 + \pi^2}$$

B

$$8 - \dfrac{4\pi}{94 + \pi^2}$$

C

$$8\dfrac{(1 + \pi^2)}{9 + \pi^2}$$

D

$$8 - \dfrac{\pi}{4}$$