  Let $\mbox{ V}(n,d,q)$ stand for the $q$--ary Hamming spheres. Let $\mbox{
C}\subseteq (q)^n$ denote a tuple system such that $\mbox{ C}\subseteq
\cup_{i=0}^s \mbox{ V}(n,d_i,q)$, where $d_1<\ldots <d_s$. We give here a
general upper bound on the size of a shattered sets of the tuple system $\mbox{
C}$.
