Let $A = (h, k)$, $B = (2, 6)$, $C = (5, 2)$ be vertices of a triangle with area 12. Find the minimum distance from $A$ to the origin.
(A) $\dfrac{16}{\sqrt{5}}$ \quad (B) $\dfrac{8}{\sqrt{5}}$ \quad (C) $\dfrac{32}{\sqrt{5}}$ \quad (D) $\dfrac{16}{\sqrt{5}}$