In the following question, we defined the foliation values of an smooth manifold;

Foliation values of a manifold

Let $S_{i}$'s, $i\in \{0,1,\ldots,27\}$, be the smooth structures of topological $S^{7}$.

According to the above definition, we find foiation values $F_{i}$, where each $F_{i}$ is the foliation values of an smooth manifold, homemorphic to $S^{7}$ with smooth structure $S_{i}$.

The question:

Is $F_{i}=F_{j}$, for all $i,j$? In the other word, is the "Foliation values" a topological invariant?