  We exhibit surprising relations between higher spin theory and nonlinear
realizations of the supergroup $OSp(1|8)$, a minimal superconformal extension
of N=1, 4D supersymmetry with tensorial charges. We construct a realization of
$OSp(1|8)$ on the coset supermanifold $OSp(1|8)/SL(4,R)$ which involves the
tensorial superspace $R^{(10|4)}$ and Goldstone superfields given on it. The
covariant superfield equation encompassing the component ones for all integer
and half-integer massless higher spins amounts to the vanishing of covariant
spinor derivatives of the suitable Goldstone superfields, and, via
Maurer-Cartan equations, to the vanishing of $SL(4,R)$ supercurvature in odd
directions of $R^{(10|4)}$. Aiming at higher spin extension of the
Ogievetsky-Sokatchev formulation of N=1 supergravity, we generalize the notion
of N=1 chirality and construct first examples of invariant superfield actions
involving a non-trivial interaction. Some other potential implications of
$OSp(1|8)$ in the proposed setting are briefly outlined.
