Tunneling spectra have been measured on as-grown $(\mathrm{B}\mathrm{i},\mathrm{}\mathrm{Pb}{)}_{2}{\mathrm{Sr}}_{2}{\mathrm{Ca}}_{2}{\mathrm{Cu}}_{3}{\mathrm{O}}_{10+\ensuremath{\delta}}$ with ${T}_{c}=110\mathrm{K}$ using a ceramic break junction. The superconducting-gap size is in scale with that of as-grown ${\mathrm{Bi}}_{2}{\mathrm{Sr}}_{2}{\mathrm{CaCu}}_{2}{\mathrm{O}}_{8+\ensuremath{\delta}}$ ${(T}_{c}=86\mathrm{K}).$ The closing temperatures ${T}^{*}$ of the normal-state gap are found to be \ensuremath{\approx}170 and \ensuremath{\approx}250 K, which are similar to ${T}^{*}$ of Bi2212. The tunneling conductance displays a distinction between the superconducting gap and the normal-state gap around ${T}_{c}.$ Near room temperature, the zero-bias conductance enhancement is observed, which could reflect the energy-gap spectrum with a different conduction mechanism from tunneling (e.g., the Andreev scattering).