The generator matrix 1 0 0 0 1 1 1 0 1 1 X 1 0 1 0 1 X 1 1 1 X 1 X 1 X X 0 1 0 1 1 1 0 1 0 X 1 0 1 X X 1 0 1 X 1 1 1 1 1 0 X 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 X 1 1 X 1 1 1 0 X 1 1 X 1 1 1 1 X X 1 0 1 0 0 0 0 0 0 1 X+1 1 X+1 1 1 1 0 X X+1 X+1 1 0 X X 1 1 1 1 X 0 X 0 X 1 0 1 X 1 1 X 1 X X+1 X X 1 1 X X+1 0 X 1 1 X X+1 X+1 1 X 1 1 X+1 X+1 X 1 1 X+1 X X+1 1 1 0 1 1 X 0 1 1 1 X+1 1 X 0 X X+1 1 0 X 0 0 1 0 0 1 1 1 1 1 X 0 1 0 1 X 1 1 X+1 0 1 0 X X X+1 0 0 X+1 X 1 1 0 1 X+1 1 1 X X+1 0 0 1 0 1 X+1 0 1 1 0 X 1 X 0 1 0 1 1 1 X X+1 1 X+1 0 X 0 0 X+1 X+1 X+1 1 X 0 1 1 1 X X+1 1 1 X X+1 1 1 0 X 1 X 0 0 0 1 1 1 0 1 X X+1 X+1 0 X 1 1 1 1 X+1 X X X 0 1 1 X 1 0 X 1 0 1 1 X+1 X+1 X X 0 X+1 X 0 0 1 X+1 0 X 1 0 0 0 0 X+1 0 1 X+1 X+1 X+1 0 X 0 X+1 X X+1 X+1 1 X X X 0 1 0 1 0 1 0 0 0 X X 0 X+1 X 1 1 1 X+1 X+1 0 0 0 0 X 0 0 0 X X X X X 0 X X 0 X 0 X X X X X 0 X X X 0 0 X X 0 0 0 0 X X X 0 0 0 0 X X 0 0 0 0 X X 0 X 0 X 0 0 0 X X 0 0 0 0 X X X X X X X 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X X X X X X 0 0 0 0 0 X 0 0 X 0 X X X 0 X X X 0 0 0 X X X X 0 X X X X 0 X 0 X 0 0 X X 0 0 X 0 0 0 X X X 0 0 X X 0 0 0 0 X 0 X X 0 0 0 0 0 0 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 X X X X X X X X X X X X X X X X X X X 0 0 X 0 X X X X 0 0 0 0 X X X X X X X X 0 X 0 0 X X X 0 X 0 0 0 X 0 0 X 0 0 0 0 0 0 0 0 X X 0 0 0 0 X 0 0 X X X X X X 0 X X X 0 0 X X X X X 0 0 0 0 X 0 0 0 X 0 X X 0 0 0 0 0 0 X 0 0 X X X X X 0 X X 0 0 X 0 X 0 X X X X X X 0 0 0 0 X X X 0 0 0 0 0 generates a code of length 86 over Z2[X]/(X^2) who´s minimum homogenous weight is 75. Homogenous weight enumerator: w(x)=1x^0+56x^75+117x^76+172x^77+183x^78+190x^79+206x^80+216x^81+242x^82+236x^83+235x^84+228x^85+216x^86+198x^87+194x^88+164x^89+195x^90+186x^91+149x^92+144x^93+118x^94+108x^95+79x^96+74x^97+47x^98+42x^99+35x^100+22x^101+18x^102+8x^103+8x^104+2x^105+3x^106+2x^109+1x^110+1x^114 The gray image is a linear code over GF(2) with n=172, k=12 and d=75. This code was found by Heurico 1.16 in 3.58 seconds.