Assume the Segment with the Endpoints $( 1,2,1 )$ And $( - 1,6,3 )$

Assume the segment with the endpoints $( 1,2,1 )$ and $( - 1,6,3 )$ is a diameter of a sphere. Give an equation of the sphere.

A) $( x - 1 ) ^ { 2 } + ( y - 2 ) ^ { 2 } + ( z - 2 ) ^ { 2 } = 24$
B) $x ^ { 2 } + ( y - 4 ) ^ { 2 } + ( z - 2 ) ^ { 2 } = 6$
C) $x ^ { 2 } + ( y - 4 ) ^ { 2 } + ( z - 2 ) ^ { 2 } = 2 \sqrt { 6 }$
D) $x ^ { 2 } + ( y - 4 ) ^ { 2 } + ( z - 2 ) ^ { 2 } = 12$