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 X 1 1 1 1 0 1 X 1 0 1 1 0 X 1 1 0 0 X X 1 1 0 1 1 1 1 1 0 1 1 1 X 0 1 X X 1 1 1 0 1 X 0 X 1 1 X 0 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 0 1 1 1 0 0 X+1 1 X X 0 X X 0 X+1 X 1 1 0 0 X+1 X+1 1 0 1 0 X 1 1 X 0 1 X X 0 1 1 1 0 X+1 X X+1 1 0 X X 1 1 1 X 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 1 X+1 0 X 1 1 0 X+1 X+1 1 X+1 1 1 1 X 0 X 0 1 1 1 X 0 0 X X+1 X 1 1 X 1 1 X X 0 0 0 1 X 1 1 0 X+1 1 1 0 0 X+1 1 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 X+1 1 X+1 1 1 1 X+1 1 1 X+1 X+1 X X+1 X+1 1 X+1 X+1 1 X+1 0 1 X+1 1 X+1 1 X+1 0 X+1 X+1 1 X X+1 1 X 1 1 X+1 1 X 1 1 1 1 X X X X+1 X 0 X 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 1 X X X 1 X+1 X+1 0 1 X 0 X 1 X+1 X+1 X 1 X X 0 1 1 X X X+1 X+1 0 X X+1 X 1 1 0 1 1 X+1 0 0 0 0 X 0 X+1 X X+1 1 0 X+1 1 X+1 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 1 X X+1 1 0 0 0 0 X+1 X+1 X 0 X+1 1 0 X 0 0 X+1 X 1 X X+1 X X X+1 1 X+1 1 0 X 0 0 X X+1 0 1 0 0 X+1 1 1 1 0 1 0 X+1 0 1 generates a code of length 91 over Z2[X]/(X^2) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+82x^80+98x^81+130x^82+230x^83+235x^84+204x^85+208x^86+244x^87+223x^88+212x^89+171x^90+238x^91+253x^92+198x^93+174x^94+142x^95+194x^96+184x^97+105x^98+76x^99+96x^100+74x^101+65x^102+68x^103+48x^104+50x^105+38x^106+22x^107+20x^108+4x^109+5x^110+2x^111+2x^115 The gray image is a linear code over GF(2) with n=182, k=12 and d=80. This code was found by Heurico 1.16 in 3.42 seconds.