Tyre for a heavy vehicle of construction plant type, comprising: - a tread comprising two axial end portions or tread wings (311, 312) that are axially separated by a tread central portion; - at least one tread wing (311, 312) being made up of an electrically conductive elastomeric compound; - a protective reinforcement, radially on the inside of the tread, comprising at least one protective layer made up of metal reinforcers coated in an electrically conductive elastomeric coating compound; - said protective layer being bordered at each of its axial ends by an edging rubber having a curved width L GBS1 and being made up of an electrically conductive elastomeric compound; - a working reinforcement, radially on the inside of the protective reinforcement, comprising at least two working layers made up of metal reinforcers coated in an elastomeric coating compound; - two sidewalls connecting the tread wings to two beads that are intended to come into contact with a mounting rim via a bead layer made up of an elastomeric compound; - a carcass reinforcement connecting the two beads together, passing via the sidewalls, and comprising at least one carcass layer made up of metal reinforcers coated in an electrically conductive elastomeric coating compound; - each compound having a viscoelastic loss tgδ defined as being the ratio of the viscous shear modulus to the elastic shear modulus, the moduli being measured at a frequency of 10 Hz for a temperature of 60°C, according the standard ASTM D5992-96; - each compound being characterized by static stiffness measurements at 10% deformation, and at 100% deformation, according to the standard NFT 46-002 of September 1988; characterized in that the elastomeric compound of the central portion of the tread has a composition based on an elastomeric matrix comprising at least one diene elastomer and on a reinforcing filler predominantly comprising a filler covered at least partially with silica, with a dispersion of the reinforcing filler in the elastomeric matrix having a Z score greater than or equal to 70, the score Z being measured after crosslinking according to the method described by S.Otto and Al Kautschuk Gummi Kunststoffe, 58 Jahrgang, NR 7-8/2005, in accordance to the standard ISO 11345 in that the edging rubber of the protective layer is at least partially in contact with the elastomeric coating compound of said protective layer and with the axially closest tread wing (311, 312), in that the Shore A hardness of the edging rubber is greater than or equal to 60, a static stiffness modulus at 10% deformation is greater than or equal to 4.5 MPa, and a static stiffness modulus at 100% deformation is greater than or equal to 2.0 MPa, and in that the electrical resistivities of the elastomeric compound of said tread wing (311, 312) and of the elastomeric compound of the edging rubber of the protective layer, respectively, are at most equal to 10 6 ' Ω.cm, such that the tread wing (311, 312), the edging rubber of the protective layer, the elastomeric coating compounds of the protective layers, the working layers, the carcass layer and the bead layer, respectively, constitute a preferential conductive pathway for the electric charges between the ground and the rim when the tyre is mounted on its rim and squashed on the ground, the electrical resistivities being measured according the standard ASTM-D257. - a tread comprising two axial end portions or tread wings (311, 312) that are axially separated by a tread central portion; - at least one tread wing (311, 312) being made up of an electrically conductive elastomeric compound; - a protective reinforcement, radially on the inside of the tread, comprising at least one protective layer made up of metal reinforcers coated in an electrically conductive elastomeric coating compound; - said protective layer being bordered at each of its axial ends by an edging rubber having a curved width L GBS1 and being made up of an electrically conductive elastomeric compound; - a working reinforcement, radially on the inside of the protective reinforcement, comprising at least two working layers made up of metal reinforcers coated in an elastomeric coating compound; - two sidewalls connecting the tread wings to two beads that are intended to come into contact with a mounting rim via a bead layer made up of an elastomeric compound; - a carcass reinforcement connecting the two beads together, passing via the sidewalls, and comprising at least one carcass layer made up of metal reinforcers coated in an electrically conductive elastomeric coating compound; - each compound having a viscoelastic loss tgδ defined as being the ratio of the viscous shear modulus to the elastic shear modulus, the moduli being measured at a frequency of 10 Hz for a temperature of 60°C, according the standard ASTM D5992-96; - each compound being characterized by static stiffness measurements at 10% deformation, and at 100% deformation, according to the standard NFT 46-002 of September 1988;