Of course Concorde may plan to take-off with a 10 kt tailwind - but only if the resulting RTOW has been correctly recalculated and proved to be inexcess of ATOW; V1 must also be recalculated.
Those who don't know understand the difference between ATOW, RTOW and MTOW on this thread should refresh themselves about scheduled performance. It is simple enough for anyone to 'back plot' the ATOW and to recompute the RTOW for the conditions at the time with the tailwind. GIVE US THE FIGURES!!