  The possibility of synthesizing a doubly magic superheavy nucleus,
$^{298}114_{184}$, is investigated on the basis of fluctuation-dissipation
dynamics. In order to synthesize this nucleus, we must generate more
neutron-rich compound nuclei because of the neutron emissions from excited
compound nuclei. The compound nucleus $^{304}114$ has two advantages to
achieving a high survival probability. First, because of small neutron
separation energy and rapid cooling, the shell correction energy recovers
quickly. Secondly, owing to neutron emissions, the neutron number of the
nucleus approaches that of the double closed shell and the nucleus obtains a
large fission barrier. Because of these two effects, the survival probability
of $^{304}114$ does not decrease until the excitation energy $E^{*}= 50$ MeV.
These properties lead to a rather high evaporation reside cross section.
