Q67. A square is inscribed in the circle $x ^ { 2 } + y ^ { 2 } - 10 x - 6 y + 30 = 0$. One side of this square is parallel to $y = x + 3$. If $\left( x _ { i } , y _ { i } \right)$ are the vertices of the square, then $\boldsymbol { \Sigma } \left( x _ { i } ^ { 2 } + y _ { i } ^ { 2 } \right)$ is equal to:\\
(1) 148\\
(2) 152\\
(3) 160\\
(4) 156