  We provide a closed, simply connected, symplectic $6$-manifold having
infinitely many codimension $2$ symplectic submanifolds which are mutually
homologous but homotopy inequivalent and moreover, which cannot admit complex
structures. The key ingredient for the construction is hyperelliptic Lefschetz
fibrations on $4$-manifolds. As a corollary, we present a similar result on
symplectic submanifolds of codimension $2$ in higher dimensions. In the
appendix, we give a proof of the well-known fact that all symplectic
submanifolds of codimension $2$ in $(\mathbb{CP}^3, \omega_{\mathrm{FS}})$ of a
fixed degree $\leq 3$ are mutually diffeomorphic.
