A tethered plastic screw stopper , comprising: a closure shell ; a tamper band separably connected to the closure shell by a plurality of bridges , namely a plurality of top bridges that form a top weakness line and a plurality of bottom bridges that form a bottom weakness line , that connect a bottom edge of the closure shell to a top edge of the tamper band , each of the bridges configured to be stretched and broken when the closure shell is moved from a first orientation prior to opening to a second orientation after opening; a strip made into the plastic material of the stopper between the tamper band and the closure shell using the bottom weakness line , formed by the plurality of bottom bridges , and the top weakness line , formed by the plurality of top bridges , top and bottom bridges being regularly or irregularly positioned around the perimeter of the top and bottom weakness lines , respectively, wherein the strip is connected to the closure shell at a junction point , the strip comprising an extremity at an end of the top weakness line positioned above a first set of bridges located along the bottom weakness line, the extremity linking the strip with the closure shell at the junction point ; and a hinge linking the strip and the tamper band , the hinge being positioned beneath a set of bridges located along the top weakness line , and when facing the stopper and looking at the hinge , the end of the top weakness line is located on the left of the hinge ; characterized in that said end of the top weakness line is angularly positioned within 40° of the vertical axis of the bottom bridge located at the nearest from the hinge considering a clockwise screwing motion configuration. a closure shell ; a tamper band separably connected to the closure shell by a plurality of bridges , namely a plurality of top bridges that form a top weakness line and a plurality of bottom bridges that form a bottom weakness line , that connect a bottom edge of the closure shell to a top edge of the tamper band , each of the bridges configured to be stretched and broken when the closure shell is moved from a first orientation prior to opening to a second orientation after opening; a strip made into the plastic material of the stopper between the tamper band and the closure shell using the bottom weakness line , formed by the plurality of bottom bridges , and the top weakness line , formed by the plurality of top bridges , top and bottom bridges being regularly or irregularly positioned around the perimeter of the top and bottom weakness lines , respectively, wherein the strip is connected to the closure shell at a junction point , the strip comprising an extremity at an end of the top weakness line positioned above a first set of bridges located along the bottom weakness line, the extremity linking the strip with the closure shell at the junction point ; and a hinge linking the strip and the tamper band , the hinge being positioned beneath a set of bridges located along the top weakness line , and when facing the stopper and looking at the hinge , the end of the top weakness line is located on the left of the hinge ; characterized in that said end of the top weakness line is angularly positioned within 40° of the vertical axis of the bottom bridge located at the nearest from the hinge considering a clockwise screwing motion configuration. <EOS>