Is there an example that a specific matrix has Jordan block $J_{2}(i)$?

Question

Consider a matrix of the form $\begin{bmatrix} A & C\\ -C^{T} & B \end{bmatrix}$ where A and B are symmetric matrices.

Can matrices of this type have a Jordan normal form representation with Jordan blocks of the form $J_{2}(i) = \begin{bmatrix} i & 1\\ 0 & i \end{bmatrix}$? I'm trying to find such an example but I can't find it until now. Please help me..

Thanks