Let, $C_1$ be circle $x^2+y^2+8x+8y=0$, 

$C_2$ be circle $x^2+y^2+8x-8y=0$, 

$C_3$ be circle $x^2+y^2-8x+8y=0$

& $C_4$ be circle $x^2+y^2-8x+8y=0$

Now, common tangents between $C_1 \& C_2$ is $2$, 

 common tangents between $C_1 \& C_3$ is $2$, 

 common tangents between $C_1 \& C_4$ is $3$,

 common tangents between $C_2 \& C_3$ is $3$, 

 common tangent between $C_2 \& C_4$ is $2$

& common tangent between $C_3 \& C_4$ is $2$

Total $=14$



$C_1 \& C_4$ touch each other, $C_2 \& C_4$ touch each other, rest pair for circles intersects each other.