We present preliminary results for the mass of the 6q flavor-singlet state
(J(P) = 0(+), S = -2) called H-dibaryon, calculated in quenched QCD on 16(3
)x30 and 24(3)x30 lattices with improved gauge and fermion actions (Symanzi
k improvement, Clover action). For both lattice sizes we applied the fuzzin
g technique to enhance the overlap with the ground state. We observe a H-ma
ss above the Lambda Lambda-threshold for strong decay. The difference in ma
ss, m(H) - 2m(Lambda), increases with increasing lattice size.