The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X 1 X X 1 0 1 1 1 X 0 0 1 1 1 X 1 1 1 1 1 X 1 1 1 0 X 0 0 0 1 1 1 X 1 1 1 0 1 0 1 1 X 1 0 0 0 0 X 0 0 0 0 1 1 1 0 0 1 1 1 0 X 0 1 0 0 0 1 1 1 X 0 X+1 X+1 1 1 X 1 1 1 1 1 0 1 X+1 X 1 X X X+1 X+1 0 0 X+1 X X+1 0 1 1 X+1 0 1 1 1 0 1 1 0 0 X X+1 0 1 1 1 0 X 0 X 0 0 1 0 1 1 X 1 1 1 X+1 X 1 1 1 1 0 X 1 1 0 0 1 0 1 1 0 1 0 X+1 X+1 X X X+1 1 X X X+1 1 X+1 X+1 0 X+1 0 0 1 1 1 1 1 X X 0 0 0 X 0 X+1 1 1 X+1 X 1 X X X 1 1 1 X+1 X+1 1 X 1 X 1 1 0 X X+1 1 1 X+1 1 0 X X X+1 0 0 1 X+1 X+1 X+1 1 1 X 0 0 0 1 1 0 1 1 1 0 1 X X+1 0 X+1 1 1 X+1 0 0 X X X 1 0 X+1 X+1 0 1 0 X+1 1 1 X 0 X+1 0 X X+1 X+1 0 0 X X+1 X 1 X X+1 1 X+1 0 0 X X X 0 X+1 X+1 1 1 X X 0 0 X X+1 X+1 1 1 1 0 X+1 1 X+1 0 1 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X X X X X X X X 0 X X X 0 X 0 X 0 X X X X X X X X X X 0 X 0 0 0 X 0 0 X X 0 X X X 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X 0 X X 0 X 0 X X 0 0 X X X 0 0 0 X 0 0 X X X X 0 X X 0 X X X 0 0 X X 0 0 0 0 X X X 0 0 X X 0 X 0 X 0 X 0 0 X 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X X 0 X X 0 X 0 X X 0 X 0 0 X X X 0 0 X 0 X 0 0 0 X 0 X 0 X X X 0 0 X 0 X 0 0 0 X 0 X X 0 0 X X X 0 X X X 0 0 0 X X X X X 0 X 0 0 0 0 0 0 0 X X X 0 X X X X X 0 0 X 0 X X 0 0 X 0 X X X 0 0 0 0 X 0 X 0 X X 0 X 0 0 0 0 0 X 0 X 0 0 X X X 0 0 0 X 0 0 X 0 0 X X X 0 0 X 0 X 0 0 0 0 X X generates a code of length 77 over Z2[X]/(X^2) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+29x^66+76x^67+148x^68+180x^69+232x^70+248x^71+217x^72+208x^73+221x^74+282x^75+225x^76+188x^77+217x^78+224x^79+222x^80+170x^81+165x^82+200x^83+125x^84+100x^85+104x^86+104x^87+67x^88+36x^89+49x^90+18x^91+13x^92+12x^93+7x^94+5x^96+2x^97+1x^100 The gray image is a linear code over GF(2) with n=154, k=12 and d=66. This code was found by Heurico 1.16 in 2.95 seconds.