The generator matrix 1 0 0 0 0 1 1 1 1 0 1 1 X 1 0 X X 1 X 1 X 0 1 0 X 1 0 1 1 1 1 1 0 X X 1 0 1 1 X 1 0 1 X 1 1 1 0 1 X 1 1 1 X X 0 0 1 1 1 1 0 0 0 X X 1 X 0 1 0 1 1 1 0 X 1 1 X 0 0 X 1 0 0 0 1 0 1 0 0 1 1 0 1 0 0 0 0 0 0 0 X 0 0 X X X X 1 1 1 1 1 1 1 1 1 1 1 X+1 1 1 X+1 0 X 1 1 X+1 1 X 0 0 1 1 1 1 X X 1 X 0 1 1 0 0 1 1 X X X+1 1 1 0 X 1 0 1 1 0 X 1 1 X X X+1 X 1 1 X 0 X 1 1 X 1 1 X 0 X+1 X 1 1 0 X+1 1 0 0 1 0 0 0 1 0 X 0 1 X+1 1 X+1 1 1 X 1 X+1 X+1 0 1 X 0 X+1 X X+1 1 X X+1 X X 0 0 X 0 1 1 1 0 X+1 X+1 0 X X 0 1 1 1 X X X X X 1 1 1 X+1 X X+1 X+1 0 X X 1 0 1 1 0 X 1 X+1 1 0 1 0 0 X 1 X 0 1 X X X X 1 X 0 0 1 X+1 X+1 0 0 0 1 0 1 1 X 1 1 X X X X+1 X+1 1 1 0 X X+1 X+1 1 X X 1 1 0 1 X+1 0 0 1 0 X+1 0 1 X X+1 0 1 0 1 0 X+1 0 1 1 0 0 0 X+1 X+1 X+1 X+1 X X+1 X 0 0 X X 1 0 X 1 1 0 X 1 1 1 X+1 X X+1 0 0 1 0 1 1 X 0 1 1 0 1 1 1 1 X+1 0 X X 0 0 0 0 1 1 0 1 0 1 X X+1 1 1 X 1 X+1 X+1 1 0 X 1 X+1 X+1 0 1 X X+1 X X X 1 1 0 0 X+1 X 1 X+1 X+1 X X+1 1 0 X 0 1 0 X+1 X+1 X 0 0 1 1 0 X 1 0 0 0 0 X+1 1 X+1 1 X+1 X+1 1 0 X 0 0 X X X X+1 X+1 0 0 X+1 X 1 X 1 X 0 X X X+1 X 1 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 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 X X X X X X X X X X X X X 0 X X 0 X X X 0 X X X 0 X X 0 X X 0 0 X X X 0 X 0 X 0 X X X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X 0 0 X X X 0 X 0 X X 0 X 0 X 0 X X X X X X 0 X 0 X X X X X X X 0 X X X X 0 X 0 X 0 0 X X 0 X X 0 0 X 0 0 0 X 0 0 X X X 0 0 0 X X X 0 X X X X 0 0 X 0 X X X 0 generates a code of length 93 over Z2[X]/(X^2) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+74x^82+124x^83+149x^84+190x^85+198x^86+222x^87+242x^88+278x^89+215x^90+196x^91+255x^92+194x^93+152x^94+190x^95+189x^96+162x^97+155x^98+160x^99+138x^100+112x^101+104x^102+92x^103+78x^104+56x^105+43x^106+38x^107+31x^108+24x^109+10x^110+2x^112+8x^113+9x^114+2x^115+3x^116 The gray image is a linear code over GF(2) with n=186, k=12 and d=82. This code was found by Heurico 1.16 in 3.71 seconds.