$S_{12}$
$${\rm LOG}\left(S_{12}\right)=\frac{1}{18}\pi
\left[\begin{array}{rrrrrrrrrrrr}
\bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet\\
\bullet & 12 & 24 & 28 & 4 & 16 & \bullet & 12 & 24 & \bullet & 12 & 24 \\
\bullet & 24 & 12 & 20 & 8 & 32 & \bullet & 24 & 12 & \bullet & 24 & 12 \\
\bullet & 27 & \bullet & \bullet & \bullet & \bullet & 18 & 9 & 18 & 18 & 18 & 18 \\
\bullet & 3 & 24 & 28 & 4 & 16 & 18 & 21 & 6 & 18 & 30 & 6 \\
\bullet & 15 & 12 & 20 & 8 & 32 & 18 & 33 & 30 & 18 & 6 & 30 \\
\bullet & \bullet & \bullet & 18 & 18 & 18 & 9 & \bullet & \bullet & 27 & 18 & 18 \\
\bullet & 12 & 24 & 10 & 22 & 34 & 9 & 12 & 24 & 27 & 30 & 6 \\
\bullet & 24 & 12 & 2 & 26 & 14 & 9 & 24 & 12 & 27 & 6 & 30 \\
\bullet & 27 & \bullet & 18 & 18 & 18 & 27 & 9 & 18 & 9 & \bullet & \bullet \\
\bullet & 3 & 24 & 10 & 22 & 34 & 27 & 21 & 6 & 9 & 12 & 24 \\
\bullet & 15 & 12 & 2 & 26 & 14 & 27 & 33 & 30 & 9 & 24 & 12
\end{array}\right]$$