  We obtain the 16 higher spin currents with spins (1,3/2,3/2,2),(3/2, 2,2,
5/2), (3/2,2,2, 5/2) and (2,5/2,5/2,3) in the N=4 superconformal Wolf space
coset SU(N+2)/[SU(N) x SU(2) x U(1)]. The antisymmetric second rank tensor
occurs in the quadratic spin-1/2 Kac-Moody currents of the higher spin-1
current. Each higher spin-3/2 current contains the above antisymmetric second
rank tensor and three symmetric (and traceless) second rank tensors (i.e. three
antisymmetric almost complex structures contracted by the above antisymmetric
tensor) in the product of spin-1/2 and spin-1 Kac-Moody currents respectively.
Moreover, the remaining higher spin currents of spins 2, 5/2, 3 contain the
combinations of the (symmetric) metric, the three almost complex structures,
the antisymmetric tensor or the three symmetric tensors in the multiple product
of the above Kac-Moody currents as well as the composite currents from the
large N=4 nonlinear superconformal algebra.
