  In the coset model $(D_N^{(1)} \oplus D_N^{(1)},D_N^{(1)})$ at levels
$(k_1,k_2)$, the higher spin $4$ current that contains the quartic WZW currents
contracted with completely symmetric $SO(2N)$ invariant $d$ tensor of rank $4$
is obtained. The three-point functions with two scalars are obtained for any
finite $N$ and $k_2$ with $k_1=1$. They are determined also in the large $N$ 't
Hooft limit. When one of the levels is the dual Coxeter number of $SO(2N)$,
$k_1=2N-2$, the higher spin $\frac{7}{2}$ current, which contains the septic
adjoint fermions contracted with the above $d$ tensor and the triple product of
structure constants, is obtained from the operator product expansion (OPE)
between the spin $\frac{3}{2}$ current living in the ${\cal N}=1$
superconformal algebra and the above higher spin $4$ current. The OPEs between
the higher spin $\frac{7}{2}, 4$ currents are described. For $k_1=k_2=2N-2$
where both levels are equal to the dual Coxeter number of $SO(2N)$, the higher
spin $3$ current of $U(1)$ charge $\frac{4}{3}$, which contains the six product
of spin $\frac{1}{2}$ (two) adjoint fermions contracted with the product of $d$
tensor and two structure constants, is obtained. The corresponding ${\cal N}=2$
higher spin multiplet is determined by calculating the remaining higher spin
$\frac{7}{2}, \frac{7}{2}, 4$ currents with the help of two spin $\frac{3}{2}$
currents in the ${\cal N}=2$ superconformal algebra. The other ${\cal N}=2$
higher spin multiplet, whose $U(1)$ charge is opposite to the one of above
${\cal N}=2$ higher spin multiplet, is obtained. The OPE between these two
${\cal N}=2$ higher spin mutiplets is also discussed.
