$x^2 + y^2 + z^2 + 14x + 18y + 18z + 175=0$

$x^2 + y^2 + z^2 + 7x + 9y + 9z + 247=0$

$x^2 + y^2 + z^2 + 14x + 18y + 18z + 247=0$

$x^2 + y^2 + z^2 + 7x + 9y + 9z + 175=0$

$x^2 + y^2 + z^2 + 18x + 16y + 16z + 200=0$

$x^2 + y^2 + z^2 - 18x - 16y - 16z + 200=0$

$x^2 + y^2 + z^2 + 9x + 8y + 8z + 200=0$

$x^2 + y^2 + z^2 - 9x - 8y - 8z + 200=0$

$x^2 + y^2 + z^2 + 12x + 12y + 16z + 36 = 0$

$x^2 + y^2 + z^2 + 6x + 6y + 8z + 236 = 0$

$x^2 + y^2 + z^2 + 12x + 12y + 16z + 236 = 0$

$x^2 + y^2 + z^2 - 12x - 12y - 16z + 36 = 0$

$x^2 + y^2 + z^2 + 20x + 18y + 10z + 202=0$

$x^2 + y^2 + z^2 + 20x + 18y + 10z + 200 =0$

$x^2 + y^2 + z^2 + 10x + 9y + 5z + 198=0$

$x^2 + y^2 + z^2 + 10x + 9y + 5z + 206=0$