A method of producing a tire having an outside-in ply construction is provided. The method includes the steps of: providing a tire building drum; laying an inner liner on said drum, applying a first layer of ply on the right hand side of the drum so that a first end of the first ply layer is located over a first bead area while the second end of the first ply layer extends laterally outwards therefrom, applying a first bead over the first bead area and ply end; applying a second layer of ply on the left hand side of the drum so that one end of the second ply layer is located over a second bead area, while the second end extends laterally outwards therefrom; applying a second bead over the second toeguard and end of second ply layer; folding the second end of the first layer of ply over the first bead until the second end of the first layer of ply contacts the second bead; folding the second layer of ply over the second bead and apex so that the outer end of the second layer of ply is located over the first bead; and shaping the carcass into a toroid. A second method of building a tire carcass comprising the steps outlined above, with an additional third layer of ply being added that has lateral ends extending from said first bead to said second bead. The tire carcass may additionally comprise one or more pairs of sidewall inserts.