  Motivated by the searching for $bb\bar{b}\bar{b}$ states at LHC recently, we
calculate the ground-state energies of $bb\bar{b}\bar{b}$ states with quantum
numbers $IJ^P=00^+,01^+,02^+$ in a nonrelativistic chiral quark model using the
Gaussian expansion method. In our calculations, two structures, meson-meson and
diquark-antidiquark, and their coupling, along with all possible color
configurations are considered. It is expected that the studies shall be helpful
for the experimental searching of fully-heavy exotic tetraquark states.
