  We present a new calculation of the mass and width of the exotic $0^{--}$
glueball in the framework of the QCD sum rules. We next construct a new current
which couples to a pure $0^{--}$ gluon state and derive consistent and stable
sum rules. A previously used current in this approach was shown to be
inconsistent. We obtain for this state a mass $M_G=6.3^{+0.8}_{-1.1}$ GeV and
an upper limit for the total width $\Gamma_G\leq 235$ MeV. These values can be
used as an important guide for the experimental search of this exotic state. We
argue that the mixing of this glueball state with $0^{--}$ tetraquark is very
small. Therefore, the exotic $0^{--}$ glueball can be considered as a pure
gluon state.
