The generator matrix 1 0 0 0 0 0 1 1 1 1 0 1 0 X 1 X 1 0 1 1 0 X X 1 0 0 X 1 1 1 1 1 0 X X 1 0 1 0 X 1 1 1 1 1 X 0 1 X 0 0 1 1 X X 1 X 1 0 X 1 1 X 1 X 1 1 1 1 0 0 1 1 1 X 1 X X X 1 X 0 0 0 0 1 1 X 1 1 1 1 0 1 0 0 0 0 X X 1 X 1 1 0 1 X+1 1 0 1 X X+1 1 0 X 1 X 1 1 X+1 X+1 0 1 X 1 1 1 X X X 1 1 1 1 1 1 0 0 0 X+1 1 X 1 0 X 1 0 X 0 0 X 1 X+1 X+1 X 1 0 X+1 1 X X+1 0 0 1 0 X+1 X 1 1 1 X 0 1 1 0 0 0 X+1 X 1 1 X+1 X+1 1 0 0 1 0 0 0 0 0 0 0 0 X X X X 0 1 1 1 X+1 X+1 1 1 X+1 1 1 X+1 X+1 1 X+1 0 1 0 1 X+1 X X 0 X+1 X+1 X+1 X+1 X 0 1 1 1 0 X 1 X X+1 0 X+1 1 X+1 1 1 1 1 X 0 X X+1 X 0 X 0 X+1 X 1 1 X 0 1 X 0 X X 0 0 0 0 0 1 X X 1 0 1 1 X+1 0 0 0 1 0 0 0 0 0 X X X 0 X 0 0 0 0 0 X X X X 0 X X X X 0 0 X X 0 0 X+1 X+1 1 1 X+1 X+1 1 1 1 X+1 1 X+1 1 X+1 1 X+1 X+1 X+1 X+1 1 X 1 X+1 X X+1 1 X+1 X+1 1 X X 1 0 X X+1 X X+1 X+1 X+1 X X 1 X+1 X+1 X 1 1 X+1 1 1 X 0 1 0 0 X X 0 0 0 0 0 1 0 0 X+1 X X+1 1 X+1 1 0 0 1 1 X X 1 X+1 1 X 0 X+1 X X+1 0 X+1 1 1 0 X X+1 X 1 0 0 0 X+1 1 X X X 1 1 X+1 X+1 X 1 1 0 1 0 0 1 X 1 X X 0 X 0 0 1 0 1 1 1 X X+1 X X X+1 X+1 0 0 0 1 X+1 1 0 X X X 1 1 0 0 0 1 X 0 0 0 0 0 1 1 X+1 1 0 1 0 1 X+1 X X X X 0 X+1 1 X+1 X+1 0 X X+1 X 1 0 1 X+1 1 X+1 1 X+1 X X+1 X X 0 X+1 1 X+1 X 1 1 0 0 X 0 X X+1 1 0 0 0 0 0 X+1 1 1 X+1 1 1 X 1 0 X X 1 X+1 X+1 1 X X+1 X 0 1 X+1 1 X+1 1 X+1 1 X X X 1 X 0 X+1 X generates a code of length 92 over Z2[X]/(X^2) who´s minimum homogenous weight is 81. Homogenous weight enumerator: w(x)=1x^0+54x^81+125x^82+168x^83+195x^84+208x^85+230x^86+234x^87+228x^88+234x^89+231x^90+198x^91+206x^92+200x^93+175x^94+192x^95+182x^96+152x^97+131x^98+130x^99+108x^100+104x^101+83x^102+76x^103+79x^104+62x^105+36x^106+16x^107+23x^108+8x^109+12x^110+10x^111+2x^112+2x^113+1x^114 The gray image is a linear code over GF(2) with n=184, k=12 and d=81. This code was found by Heurico 1.16 in 3.53 seconds.