A tire having a tread composed of two non-conductive layers, each layer containing a circumferential insert of conductive mix, the inserts having a wider interface at the interface of the two layers. An apparatus for extruding a layer, provided with a conductive insert, including a main extruder for extruding a non-vulcanized, non-conductive layer, and a micro-extruder having an extrusion head, provided at its end with a nozzle, for extruding a conductive insert in the layer.