  In this work, we continue to study the mass spectra of fully-heavy
tetraquarks $cc\bar{c}\bar{c}$ with the quantum numbers of $J^{PC}=0^{++},
1^{+-}, 2^{++}$ in the nonrelativistic chiral quark model. With the help of the
Gaussian Expansion Method, we present dynamical computations for
$cc\bar{c}\bar{c}$ state with considering two structures, meson-meson
[$\bar{c}c$][$\bar{c}c$] and diquark-antidiquark [$cc$][$\bar{c}\bar{c}$] and
their mixing. The results manifest that the energies of the low-lying states
are all higher than the meson-meson thresholds [$\bar{c}c$][$\bar{c}c$].
However, resonances are possible because of the color structure. Several
resonances are proposed and the lowest resonance is predicted to be 6.5 GeV and
the stability of the resonance states is checked using the real scaling method.
