# How to draw multiple commutative diagram like this one?

I want to draw a multiple 'commutative' diagram that looks as follows:

My working trial is as follows:

\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{matrix}
\begin{document}
\begin{tikzpicture}
\matrix (m) [matrix of math nodes, row sep=3em,
column sep=3em]{
& MC_1  &       & TM_1\\
MC_2    &       & TM_2  & \\
& BM_1  &       & TM_2 \\
BM_2    &       & FM_2  & \\};
\path[-stealth]
(m-1-2) edge (m-1-4) edge (m-2-1) edge (m-3-2)
(m-1-4) edge (m-3-4) edge (m-2-3)
(m-2-1) edge [-,line width=6pt,draw=white] (m-2-3)
edge (m-2-3) edge (m-4-1)
(m-3-2) edge  (m-3-4)
edge  (m-4-1)
(m-4-1) edge (m-4-3)
(m-3-4) edge (m-4-3)
(m-2-3) edge [-,line width=6pt,draw=white] (m-4-3)
edge (m-4-3);
\end{tikzpicture}
\end{document}

that produces:

I need the arrow to be in blue color and the line in black. How to achieve this? Please help.

$\begin{tikzcd}[row sep=6ex,column sep=2em] &&& \mathrm{MC}_1 \arrow[rr,blue] \arrow[d,blue] \arrow[ddl,dash] && \mathrm{TM}_1 \arrow[ddl,dash] \\ &&& \mathrm{BM}_1 \arrow[rr,blue] \arrow[ddl,dash] && \mathrm{FM}_1 \arrow[u,blue] \arrow[ddl,dash] \\[-4ex] && \mathrm{MC}_2 \arrow[rr,blue] \arrow[d,blue] \arrow[ddl,dash] && \mathrm{TM}_2 \arrow[ddl,dash] \\ && \mathrm{BM}_2 \arrow[rr,blue] \arrow[ddl,dash] && \mathrm{FM}_2 \arrow[u,blue] \arrow[ddl,dash] \\[-4ex] & \mathrm{MC}_3 \arrow[rr,blue] \arrow[d,blue] \arrow[ddl,dash] && \mathrm{TM}_3 \arrow[ddl,dash] \\ & \mathrm{BM}_3 \arrow[rr,blue] \arrow[ddl,dash] && \mathrm{FM}_3 \arrow[u,blue] \arrow[ddl,dash] \\[-4ex] \mathrm{MC}_4 \arrow[rr,blue] \arrow[d,blue] && \mathrm{TM}_4 \\ \mathrm{BM}_4 \arrow[rr,blue] && \mathrm{FM}_4 \arrow[u,blue] \end{tikzcd}$