The generator matrix 1 0 0 0 0 0 1 1 1 X 0 0 0 0 1 1 1 0 X 1 1 X 1 X 1 1 1 1 0 X X 1 1 1 1 1 1 1 0 1 0 1 1 X 1 0 0 1 1 1 1 0 1 X X 1 1 1 0 X 1 1 X X 0 X X 1 0 X 0 X 1 X 0 1 0 1 1 X 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 1 X 1 1 0 X 1 X 0 1 X 1 X 1 1 1 1 X 1 1 X 0 X X+1 0 X X+1 X+1 1 X+1 1 X+1 1 X X 1 1 0 0 X+1 X X X+1 X X 0 0 1 1 1 X+1 X 1 0 1 0 1 X+1 0 1 X 0 1 1 0 0 0 1 0 1 X 0 X 1 0 0 0 1 0 0 0 0 0 0 0 X 1 1 X+1 X+1 X+1 X 1 1 X+1 0 0 X 1 0 X+1 1 X+1 1 0 0 X+1 X+1 1 X X+1 X 0 0 X+1 X X X X X X+1 1 1 X X X+1 0 X+1 1 1 X 1 X X+1 X 0 0 X 1 0 1 0 0 X 1 1 1 1 X+1 X 0 X X 1 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 1 X+1 X+1 1 X 0 X+1 0 1 X X+1 X X+1 X+1 1 1 0 X 1 0 0 1 X X X+1 X X 1 X 0 X+1 0 X+1 X+1 X 0 0 1 1 X+1 0 0 1 X 0 X+1 0 X 1 X+1 1 X 1 X 0 X+1 X+1 X+1 0 0 1 X 0 1 X 1 X 1 X+1 X+1 1 1 0 X+1 0 0 0 0 0 0 1 0 1 1 X X+1 1 1 1 0 X+1 0 1 0 1 0 X X X+1 0 X+1 X+1 X 1 X+1 1 0 0 X+1 X+1 X+1 X X 1 1 0 0 1 X 1 X+1 1 1 1 X+1 X 0 X 1 1 0 X 0 0 X+1 X+1 0 X+1 1 X+1 X 0 X 1 1 X+1 1 0 X+1 X 1 X X+1 X X+1 X X+1 X+1 X+1 X 0 0 0 0 0 0 1 1 X X+1 1 0 X 1 X+1 0 X X X+1 1 X+1 0 X+1 0 0 1 1 0 1 X X+1 0 X+1 0 X 1 1 X 0 X+1 1 1 X 1 X+1 0 X+1 0 0 1 1 X X+1 X+1 X X+1 X+1 0 X 1 1 X 1 1 0 0 X X X X X+1 X 0 0 X 1 X X+1 1 X+1 X X X X X 0 0 0 0 0 0 0 X 0 X 0 0 0 0 0 X X X 0 0 X X 0 X 0 X 0 0 0 X X X 0 0 0 0 X X 0 0 0 X X 0 X 0 X X 0 X X 0 0 X X X X X 0 0 0 X 0 0 0 X 0 X 0 X X X X 0 0 X 0 0 X X 0 0 0 0 0 X generates a code of length 85 over Z2[X]/(X^2) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+27x^72+94x^73+168x^74+220x^75+300x^76+326x^77+327x^78+432x^79+386x^80+432x^81+462x^82+388x^83+401x^84+390x^85+453x^86+466x^87+399x^88+384x^89+378x^90+296x^91+314x^92+282x^93+233x^94+184x^95+121x^96+112x^97+70x^98+56x^99+32x^100+26x^101+19x^102+6x^103+2x^104+2x^105+2x^106+1x^116 The gray image is a linear code over GF(2) with n=170, k=13 and d=72. This code was found by Heurico 1.16 in 13.6 seconds.