The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 X 1 1 1 1 0 1 X 1 1 1 0 1 1 0 1 X 1 1 1 1 0 X 1 1 1 1 1 X X 1 1 X 1 1 1 1 1 1 1 0 X 0 1 1 X 1 1 1 X X 1 X 1 1 1 1 1 0 1 X 1 0 0 1 0 1 1 0 1 1 0 1 1 X X+1 1 1 0 X+1 0 X+1 1 X+1 1 X 0 X+1 1 X+1 0 1 0 1 X+1 0 X+1 1 1 1 X X 0 X 0 1 1 0 X 1 0 0 X 0 1 X+1 1 X 1 0 X 0 1 X+1 0 X+1 1 1 X X 0 X X+1 1 1 1 X+1 1 1 1 X 0 0 0 X 0 0 0 0 0 0 0 X 0 0 X X X X 0 0 0 0 X X X X 0 0 X X X 0 X X 0 X 0 0 X 0 0 0 0 0 0 0 X X 0 0 X 0 X 0 X X X X X 0 0 X 0 0 0 X X 0 X 0 X X 0 0 X X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 X X 0 X X X X X X X X 0 X X 0 0 0 X X X 0 X X X 0 X X X 0 0 X 0 X X X 0 0 X 0 X 0 0 X 0 X X X X 0 0 X X 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X X X X 0 X X X X X 0 X X X 0 X 0 X X 0 X X X 0 0 0 X X X X 0 X 0 0 X 0 0 0 X 0 X 0 X 0 X 0 0 X X X X 0 0 X 0 0 0 0 X X 0 X 0 X 0 X 0 0 0 0 0 0 X 0 0 X 0 0 X 0 X 0 X 0 X 0 0 0 X X X X 0 X 0 X X 0 0 0 X X X 0 0 X 0 0 X X 0 X 0 0 X X 0 X 0 X X 0 X 0 0 X X X X 0 0 X 0 0 0 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 X X 0 0 X X 0 0 X 0 X 0 X X X X 0 0 0 0 X X X 0 X X 0 0 0 X 0 X 0 X X 0 X X X X 0 0 X 0 0 X X 0 X X X 0 0 X 0 0 0 0 X X X 0 0 X 0 0 X X 0 0 0 0 0 0 0 0 X X 0 X 0 X X X 0 0 X 0 X X X 0 X X X 0 0 X X X X 0 X 0 0 X X 0 X 0 0 X X X 0 X X X X X 0 X 0 0 0 0 0 0 0 0 0 X 0 X 0 0 0 X 0 X 0 0 X X 0 X generates a code of length 77 over Z2[X]/(X^2) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+24x^68+28x^69+68x^70+68x^71+69x^72+70x^73+71x^74+76x^75+61x^76+68x^77+43x^78+48x^79+41x^80+56x^81+44x^82+48x^83+35x^84+32x^85+15x^86+12x^87+15x^88+2x^89+3x^90+4x^91+7x^92+5x^94+2x^96+2x^98+1x^100+5x^102 The gray image is a linear code over GF(2) with n=154, k=10 and d=68. This code was found by Heurico 1.16 in 0.291 seconds.