The invention relates to a honeycomb structure, made from a porous ceramic material, said structure being characterized in that the porous ceramic material which forms it comprises: from 50 to 95% by weight of silicon carbide SiC; from 5 to 50% by weight of at least one ceramic oxide phase, said structure additionally being characterized by a porosity greater than 10%, by a specific surface area greater than 0.5 m2/g and by a pore size distribution of at least bimodal type. The invention also relates to the process for obtaining such a structure and also to the catalytic support or filter obtained from such a structure, after deposition of a catalyst.