In a transport container for transporting temperature-sensitive transport goods, there is a chamber for receiving the transport goods and a shell enclosing the chamber. The shell has at least one first latent heat storage element wherein the heat storage element is arranged in a heat exchanging relationship with the chamber. The at least one first latent heat storage element includes a carrier material which is dimensionally stable at use temperature, and a phase change material distributed within the mass of the carrier material, so that the at least one first latent heat storage element is dimensionally stable in a temperature range both below and above the melting point of the phase change material. The at least one first latent heat storage element is designed as a casting part which surrounds the chamber in one piece, seen in cross section, at least over half the circumference.