  Feng and Wu introduced a new general coefficient sequence into Montgomery and
Odlyzko's method for exhibiting irregularity in the gaps between consecutive
zeros of $\zeta(s)$ assuming the Riemann Hypothesis. They used a special case
of their sequence to improve upon earlier results on the gaps. In this paper we
consider an equivalent form of the general sequence of Feng and Wu, and
introduce a somewhat less general sequence $\{a_n\}$ for which we write the
Montgomery-Odlyzko expressions explicitly. As an application, we give the
following slight improvement of Feng and Wu's result: infinitely often
consecutive non-trivial zeros of the Riemann zeta-function differ by at most
$0{.}515396$ times the average spacing.
