Given the equation of a circle is $\displaystyle x^2+(y-6)^2=8$.

And the equation of a second circle is $\displaystyle x^2+y^2=6y+d$, where $\displaystyle d$ is an integer, is the reflection of the circle $\displaystyle x^2+(y-6)^2=8$ about the line $\displaystyle y=k$, find the values of $\displaystyle k$ and of $\displaystyle d$