Transport box for transporting a temperature-sensitive good in a temperature range from a lower temperature of approximately 2°C to an upper temperature of approximately 8°C, the transport box comprising: an interior space for accommodating the temperature-sensitive good, and a cell wall which surrounds the interior space, wherein the interior space comprises bottom, side and top walls, wherein an inner side of the cell wall is provided with a protective layer which delimits the interior space, and wherein the interior space has a flat horizontal bottom wall, vertical side walls and a horizontal top wall, wherein the cell wall is surrounded on the outside by insulation, wherein the insulation has a lower vessel part and a top part, wherein the top part of the insulation can be lifted off, wherein the transport box is closed off from the outside by an outer wall and wherein the outer wall encloses all other components of the transport box in its interior, wherein at least one thermal protection storage cell for maintaining a temperature range from a lower temperature to an upper temperature is arranged in the cell wall adjacent to each one of the bottom, side or top walls of the interior space, wherein the thermal protection storage cells each have a cell body and two filling chambers which are arranged in the cell body, characterized in that the two filling chambers of the thermal protection storage cells lie flat next to one another so that the two filling chambers are adjacent to the corresponding one of the bottom, side or top walls of the interior, the first filling chamber of each thermal protection storage cell is filled with a first phase change material which changes its phase at the lower temperature of 2°C, and the second filling chamber of each thermal protection storage cell is filled with a second phase change material which changes its phase at the upper temperature of 8°C. an interior space for accommodating the temperature-sensitive good, and a cell wall which surrounds the interior space, wherein the interior space comprises bottom, side and top walls, wherein an inner side of the cell wall is provided with a protective layer which delimits the interior space, and wherein the interior space has a flat horizontal bottom wall, vertical side walls and a horizontal top wall, wherein the cell wall is surrounded on the outside by insulation, wherein the insulation has a lower vessel part and a top part, wherein the top part of the insulation can be lifted off, wherein the transport box is closed off from the outside by an outer wall and wherein the outer wall encloses all other components of the transport box in its interior, wherein at least one thermal protection storage cell for maintaining a temperature range from a lower temperature to an upper temperature is arranged in the cell wall adjacent to each one of the bottom, side or top walls of the interior space, wherein the thermal protection storage cells each have a cell body and two filling chambers which are arranged in the cell body, characterized in that the two filling chambers of the thermal protection storage cells lie flat next to one another so that the two filling chambers are adjacent to the corresponding one of the bottom, side or top walls of the interior, the first filling chamber of each thermal protection storage cell is filled with a first phase change material which changes its phase at the lower temperature of 2°C, and the second filling chamber of each thermal protection storage cell is filled with a second phase change material which changes its phase at the upper temperature of 8°C.