Coke oven corbel structures include an assembly of multiple stacked tiers of refractory blocks defining a plurality of substantially vertically oriented central flues and a plurality of diagonally oriented lateral flues. At least one tier of refractory blocks in the assembly includes a plurality of tongue-and-groove interconnected refractory blocks. This plurality of interconnected refractory blocks of the at least one tier comprise mutually substantially orthogonal faces defining an edge and respectively including an elongate tongue protruding outwardly therefrom and an elongate groove recessed therein. The elongate tongue and groove include respective adjacent ends which co-terminate with one another at the edge defined by the mutually orthogonal faces of the refractory blocks.