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

A

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

B

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

C

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

D

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