The generator matrix 1 0 0 0 0 0 0 1 1 1 0 1 X 1 1 0 1 1 1 0 1 X 1 X 0 1 1 X 0 0 1 X 1 1 0 1 X 1 1 0 1 1 1 0 1 0 1 1 1 1 X X 1 X 1 1 1 1 X 1 1 1 0 X 0 0 0 1 1 1 1 1 X 1 0 X 1 1 X X 1 1 X 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X X X 1 X+1 1 1 1 1 1 1 X+1 1 1 1 0 1 1 X X+1 1 1 X 0 X 1 X+1 1 X+1 X 0 1 1 0 0 X 0 1 0 X X+1 0 1 1 X X 1 0 1 0 X 1 X X X X X+1 X+1 X 1 X 1 0 X+1 X 0 1 X+1 0 X 0 0 0 1 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 X X X X X 0 X X X X X X+1 1 X+1 1 X+1 X+1 X+1 1 1 X+1 1 X+1 X+1 X+1 X+1 1 X+1 1 X+1 X+1 1 X+1 X+1 1 0 1 0 1 X+1 0 1 1 X+1 X X 0 0 0 X+1 1 1 1 0 X 1 0 1 X+1 X X 0 0 0 0 0 1 0 0 0 0 0 X X 1 1 X+1 X+1 1 1 X+1 X+1 1 X X+1 1 X+1 0 X X 0 X+1 0 1 X 1 X+1 0 X 1 X+1 X+1 1 X 0 1 0 0 1 X+1 X 1 X+1 1 0 1 0 X+1 0 X X 1 X 0 X+1 X 1 X X 0 0 X 1 X+1 X+1 X X+1 1 0 0 0 0 X+1 1 X 1 0 0 0 0 0 0 1 0 0 X 1 X+1 1 0 1 1 1 X+1 X X+1 1 X 1 1 X 0 0 X 0 1 X+1 1 0 1 1 X+1 X X+1 1 X X 0 0 X X+1 X+1 X+1 1 0 X 1 X+1 X 1 0 0 X+1 1 0 1 X 1 X+1 X 0 1 1 0 1 X X+1 0 1 X X X+1 X+1 X+1 X+1 0 0 1 X+1 1 0 0 0 0 0 0 0 0 1 0 X+1 1 0 1 X X+1 X+1 0 X X+1 X+1 X 0 X X+1 1 1 1 X X+1 X+1 X X+1 0 0 0 X+1 X+1 X X+1 0 X+1 0 X+1 X 0 X 0 1 1 X+1 X X+1 0 X X X+1 X 1 1 X 1 X+1 X+1 X+1 X 0 X 0 X+1 X X+1 1 1 0 X+1 0 1 0 1 X+1 1 X 1 X+1 0 0 0 0 0 0 0 0 0 1 1 X 1 1 X+1 X 1 X 1 X 0 1 1 0 1 1 0 X+1 1 X 0 X X+1 0 1 X X+1 0 1 1 0 X+1 X X+1 0 0 1 X 0 0 0 X+1 X X+1 0 X X+1 0 1 X X 0 X X+1 X 1 1 0 X+1 0 0 X+1 1 1 X X X 0 X+1 X+1 X+1 X X X 0 X+1 1 0 generates a code of length 85 over Z2[X]/(X^2) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+32x^70+74x^71+187x^72+230x^73+355x^74+438x^75+449x^76+526x^77+623x^78+718x^79+747x^80+820x^81+807x^82+868x^83+928x^84+900x^85+889x^86+882x^87+818x^88+822x^89+742x^90+680x^91+626x^92+484x^93+432x^94+390x^95+271x^96+202x^97+178x^98+100x^99+57x^100+42x^101+35x^102+8x^103+12x^104+6x^105+2x^106+2x^107+1x^134 The gray image is a linear code over GF(2) with n=170, k=14 and d=70. This code was found by Heurico 1.16 in 98.3 seconds.