On the basis of first-principles calculations, four carbon allotropes that form COT structures, c-C 72 , t-C 80 , t-C 88 , and c-C 96 carbons, are identified in this work. The microstructures of these four carbon allotropes are highly similar, and all have a porous structure and a density lower than those of most of the reported carbon allotropes. The dynamic and mechanical stability of c-C 72 , t-C 80 , t-C 88 , and c-C 96 carbons have been certified by elastic parameters and phonon spectra. The total energy of c-C 72 carbon is only 0.163 eV/atom greater than that of diamond, and it is more energetically favorable in comparison to the previously predicted carbon structures (such as oP144, C 96 , C 5 , Pmmm C 18 , etc.) at zero pressure. The electronic band calculations suggest that c-C 72 carbon exhibits semiconductor character with an indirect band gap of 2.27 eV, while t-C 80 , t-C 88 , and c-C 96 carbons have metallic nature. Due to their lower energy and lighter weight, c-C 72 , t-C 80 , t-C 88 , and c-C 96 carbons may possess the possibility of being applied in hydrogen storage and electronics.