  The intrinsic ferromagnetic (FM) axion insulators and Weyl semimetals (WSMs)
with only single pair of Weyl points have drawn intensive attention but so far
remain rare and elusive in real materials. Here, we propose a new class of
Mn\emph{X}$_{2}$\emph{B}$_{2}$\emph{T}$_{6}$-B (\emph{X}=Ge, Sn, or Pb;
\emph{B}=Sb or Bi; \emph{T}=Se or Te) family that is the stable structural form
of this system. We find that the Mn\emph{X}$_{2}$\emph{B}$_{2}$\emph{T}$_{6}$-B
family has not only the intrinsic FM axion insulators
MnGe$_{2}$Bi$_{2}$Te$_{6}$-B, MnSn$_{2}$Bi$_{2}$Te$_{6}$-B, and
MnPb$_{2}$Bi$_{2}$Te$_{6}$-B, but also the intrinsic WSM
MnSn$_{2}$Sb$_{2}$Te$_{6}$-B with only a single pair of Weyl points. Thus, the
Mn\emph{X}$_{2}$\emph{B}$_{2}$\emph{T}$_{6}$-B family can provide an ideal
platform to explore the exotic topological magnetoelectric effect and the
intrinsic properties related to Weyl points.
