Abstract For every $k \geq 2$ and $n , we construct n pairwise homotopically inequivalent simply connected, closed $4k$ -dimensional manifolds, all of which are stably diffeomorphic to one another. Each these manifolds has hyperbolic intersection form is parallelisable. In dimension four, exhibit an analogous phenomenon for spin $^{c}$ structures on $S^2 \times S^2$ . $m\geq 1$ also provide sim...