  By means of the $q$-Zeilberger algorithm, we prove a basic hypergeometric
supercongruence modulo the fifth power of the cyclotomic polynomial
$\Phi_n(q)$. This result appears to be quite unique, as in the existing
literature so far no basic hypergeometric supercongruences modulo a power
greater than the fourth of a cyclotomic polynomial have been proved. We also
establish a couple of related results, including a parametric supercongruence.
