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The experimentally observed difference of superconducting criticaltemperature $T_{c}$ in hole-doped cuprates is studied by using an extendedinterlayer coupling model for layered d-wave superconductors. We show that thechange of the maximum $T_{c}$ from series to series is determined by the nextnearest neighboring hopping $t^{\prime}$, while the difference of the maximum$T_{c}$ among the compounds in a homogeneous series is controlled by theinterlayer pairing strength. Our results provide helpful guidelines in thesearch for new high-$T_{c}$ superconductors.Comment: 5 pages and 3 figure

Variation of the superconducting transition temperature of hole-doped copper oxides