  Let $\frak T_2$ (resp. $\mathfrak{T}$) be the Hermitian symmetric domain of
$Spin(2,10)$ (resp. $E_{7,3}$). In the previous work, we constructed
holomorphic cusp forms on $\mathfrak{T}$ from elliptic cusp forms with respect
to $SL_2(\mathbb{Z})$. By using such cusp forms we construct holomorphic cusp
forms on $\mathfrak{T}_2$ which are similar to Miyawaki lift in symplectic
groups established by T. Ikeda.
