Concrete core temperature control element which is delimited in the direction of its thickness by an outer side facing a room and an outer side facing away from the room, comprising: a reinforcing layer facing the room; a reinforcing layer facing away from the room; a lattice carrier layer which is formed from at least one lattice carrier mat and which is arranged between the reinforcing layer facing the room and the outer side, which faces the room, of the concrete core temperature control element, wherein the at least one lattice carrier mat comprises a plurality of longitudinal bars extending parallel to one another and a plurality of transverse bars extending parallel to one another and connected to longitudinal bars; a pipework through which temperature control fluid can flow and which is connected to the lattice carrier layer; a plurality of spacer devices for the reinforcing layer facing the room, and a concrete layer at least partially surrounding the reinforcing layer facing the room, the reinforcing layer facing away from the room, the lattice carrier layer, the pipework and the plurality of spacer devices, characterized in that each spacer device comprises a distributor bar and at least two spacer elements with at least one connecting element, wherein the spacer elements are in each case fastened to the distributor bar via connecting elements and have an upper side directed towards the distributor bar, and the spacer devices are arranged in such a way that the distributor bars in each case extend parallel to the longitudinal bars of the lattice carrier layer and at least one spacer element is arranged in such a way that a perpendicular projection of a transverse bar in the direction of the upper side extends at least partially on the upper side of this spacer element, or the spacer devices are arranged in such a way that the distributor bars in each case extend parallel to the transverse bars of the lattice carrier layer and at least one spacer element is arranged in such a way that a perpendicular projection of a longitudinal bar in the direction of the upper side extends at least partially on the upper side of this spacer element; and the spacer elements have on the upper side at least two elevations (13, 13'), wherein the distributor bar in each case extends partially between two elevations (13, 13') and/or the connecting elements are arranged on an elevation on the upper side. a reinforcing layer facing the room; a reinforcing layer facing away from the room; a lattice carrier layer which is formed from at least one lattice carrier mat and which is arranged between the reinforcing layer facing the room and the outer side, which faces the room, of the concrete core temperature control element, wherein the at least one lattice carrier mat comprises a plurality of longitudinal bars extending parallel to one another and a plurality of transverse bars extending parallel to one another and connected to longitudinal bars; a pipework through which temperature control fluid can flow and which is connected to the lattice carrier layer; a plurality of spacer devices for the reinforcing layer facing the room, and a concrete layer at least partially surrounding the reinforcing layer facing the room, the reinforcing layer facing away from the room, the lattice carrier layer, the pipework and the plurality of spacer devices, each spacer device comprises a distributor bar and at least two spacer elements with at least one connecting element, wherein the spacer elements are in each case fastened to the distributor bar via connecting elements and have an upper side directed towards the distributor bar, and the spacer devices are arranged in such a way that the distributor bars in each case extend parallel to the longitudinal bars of the lattice carrier layer and at least one spacer element is arranged in such a way that a perpendicular projection of a transverse bar in the direction of the upper side extends at least partially on the upper side of this spacer element, the spacer devices are arranged in such a way that the distributor bars in each case extend parallel to the transverse bars of the lattice carrier layer and at least one spacer element is arranged in such a way that a perpendicular projection of a longitudinal bar in the direction of the upper side extends at least partially on the upper side of this spacer element; and the spacer elements have on the upper side at least two elevations (13, 13'), wherein the distributor bar in each case extends partially between two elevations (13, 13') and/or the connecting elements are arranged on an elevation on the upper side.