A highly porous metal–organic framework Cu₂(BBCDC) (BBCDC = 9,9′-([1,1′-bΒiphenyl]-4,4′-diyl)bΒis(9H-cΒarbazole-3,6-dΒicΒarboxylate) (DUT-49) with a specific surface area of 5476 m² g⁻¹, a pore volume of 2.91 cm³ g⁻¹, a H₂ excess uptake of 80 mg g⁻¹ (77 K, 50 bar), a CO₂ excess uptake of 2.01 g g⁻¹ (298 K, 50 bar) and an exceptionally high excess methane storage capacity of 308 mg g⁻¹ (298 K, 110 bar) was obtained using an extended tetratopic linker.