  BES data on $J/\psi \to \gamma (K^+K^-\pi^+\pi^-)$ are presented. The
$K^*\bar K^*$ contribution peaks strongly near threshold. It is fitted with a
broad $0^{-+}$ resonance with mass $M = 1800 \pm 100$ MeV, width $\Gamma = 500
\pm 200$ MeV. A broad $2^{++}$ resonance peaking at 2020 MeV is also required
with width $\sim 500$ MeV. There is further evidence for a $2^{-+}$ component
peaking at 2.55 GeV. The non-$K^*\bar K^*$ contribution is close to phase
space; it peaks at 2.6 GeV and is very different from $K^{*}\bar{K^{*}}$.
