Let the foci of a hyperbola be $$(1, 4)$$ and $$(1, -12).$$ If it passes through the point $$(1, 6)$$, then the length of its latus-rectum is :

A

$$ \frac{24}{5}$$

B

$$ \frac{25}{6}$$

C

$$ \frac{144}{5}$$

D

$$ \frac{288}{5}$$