The generator matrix 1 0 0 0 0 1 1 1 0 1 1 X 1 1 X 0 1 0 X 0 1 1 0 X X 0 1 X 1 1 1 1 1 0 X X 0 1 0 0 1 1 1 1 1 1 X X 1 0 0 1 X 1 0 0 0 X 0 1 0 X 1 0 1 X 1 0 1 1 0 X X X 1 1 1 0 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 X+1 0 1 1 X 1 X 1 0 0 X 1 1 1 0 X X+1 X+1 X+1 1 0 1 1 X 1 X 1 1 X 1 0 1 1 X 0 1 0 1 X X+1 1 0 X X X 0 0 0 1 1 X+1 1 X+1 1 X+1 1 X 1 1 0 0 1 X 0 0 X 0 1 X 0 0 1 0 0 0 1 1 1 X 1 X+1 X+1 0 X X+1 X+1 0 1 1 X+1 X 1 0 0 1 X X X+1 X+1 X X X X X+1 1 1 1 1 X+1 1 X+1 1 0 X X X X+1 0 X+1 1 1 X+1 X+1 1 1 0 1 1 X+1 X X+1 1 X X+1 X+1 X X X+1 1 1 1 1 0 X+1 0 X+1 X X+1 0 0 0 0 0 1 0 1 1 0 X+1 X 0 X X+1 X+1 X X+1 X X+1 X+1 1 1 0 X X+1 X+1 X 1 1 X X+1 0 X+1 1 0 0 X 1 0 X+1 1 0 X+1 X+1 X X+1 0 1 X+1 0 1 X 1 1 1 1 0 X 0 X+1 X+1 0 X 0 1 X 0 X+1 1 0 1 0 0 1 X+1 X X+1 X 1 0 1 0 0 0 0 0 1 1 0 X+1 X+1 1 X X+1 X+1 X 1 X+1 0 X 0 0 X+1 1 X+1 X+1 0 X X X+1 X+1 0 X 0 X+1 X+1 X+1 0 0 0 X+1 0 X+1 X 0 X+1 X X+1 X 1 X 1 0 1 X 1 X+1 X+1 1 1 X 0 X+1 X X X X+1 0 1 X 1 0 X X 0 0 0 1 X+1 1 1 0 1 0 0 0 0 0 X 0 X X X 0 X X 0 X X 0 0 0 0 X 0 0 0 X X X 0 0 X X 0 0 X X X 0 X X X 0 0 X 0 X X 0 0 X 0 X 0 0 0 X 0 X X 0 0 0 0 0 X 0 0 X 0 0 X 0 X X X X X 0 X X 0 0 0 0 0 0 0 0 X 0 X 0 X X 0 X X X X 0 0 0 0 X 0 0 X X 0 0 X X X 0 0 0 0 0 X X 0 0 0 0 X X X X X X X 0 X X X 0 0 X 0 X X 0 0 0 0 0 0 X 0 X X X 0 0 0 0 0 0 X X 0 0 0 generates a code of length 81 over Z2[X]/(X^2) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+51x^70+102x^71+133x^72+180x^73+218x^74+228x^75+221x^76+232x^77+231x^78+218x^79+235x^80+234x^81+212x^82+208x^83+195x^84+194x^85+153x^86+162x^87+152x^88+110x^89+105x^90+80x^91+56x^92+54x^93+48x^94+22x^95+27x^96+20x^97+5x^98+4x^99+4x^100+1x^102 The gray image is a linear code over GF(2) with n=162, k=12 and d=70. This code was found by Heurico 1.16 in 3 seconds.