The generator matrix 1 0 0 0 0 0 1 1 1 X 0 0 0 0 1 1 1 1 0 1 1 X 1 1 1 X X 1 1 1 0 1 1 0 X 0 1 1 X X 1 X 1 0 1 1 1 1 1 1 1 1 0 X 0 0 X 1 1 1 X 1 1 1 X 1 1 1 1 0 0 1 1 0 1 1 0 1 1 1 1 X 1 X 0 0 1 0 0 0 0 0 0 0 0 1 X 1 1 0 X X+1 X+1 1 1 X+1 X 1 X+1 1 1 X 0 X X+1 X 1 X 1 1 1 X+1 0 X X X+1 X X X X X X X+1 X X 1 1 1 0 1 1 1 0 X X+1 1 X+1 X 1 X X X+1 1 0 1 1 0 X+1 1 0 1 0 X X+1 1 X 1 X 0 1 0 0 1 0 0 0 0 0 0 0 X 1 1 X+1 X+1 1 1 X+1 1 1 1 1 0 X 0 X 1 X+1 X+1 0 1 X+1 0 1 X 0 1 X+1 X 0 0 X 0 1 0 X X+1 X X+1 0 0 X 1 1 X+1 X 0 X+1 1 X+1 1 1 X X+1 X 0 X 0 1 1 X+1 X+1 X X+1 1 0 1 X X X X X+1 0 0 1 0 0 0 1 0 0 0 1 1 1 1 1 0 1 X X+1 0 1 X X X+1 1 X X X+1 0 X 0 1 X+1 X+1 X+1 X+1 1 1 0 1 X+1 1 0 X 1 0 X 1 X+1 0 1 X X 1 0 1 X 0 0 X+1 1 X 0 1 0 X+1 1 1 X+1 0 0 1 X+1 0 X+1 X+1 1 X+1 X 1 X 1 X X+1 X X+1 1 0 0 0 0 0 1 0 1 0 X+1 1 1 1 X X+1 1 X 1 X X+1 0 X+1 X X+1 X X 1 X+1 X 1 X+1 0 1 X+1 0 0 X+1 X X+1 X 1 1 X+1 1 0 X+1 1 0 X+1 X+1 X X X X 1 1 X+1 1 0 X 1 X 0 X 1 X+1 X X X+1 1 X 0 0 X X 1 1 X+1 1 0 X 1 X+1 0 X+1 X 0 0 0 0 0 1 1 X+1 X 1 0 X 1 X+1 X 0 X+1 1 0 0 X X+1 X 1 X X+1 1 X+1 X+1 1 X+1 X 0 X X+1 X+1 1 X+1 X 0 X X+1 X+1 1 1 X+1 X X X+1 1 X+1 0 X+1 X X+1 0 X+1 1 0 X+1 X X X+1 X 0 X X 0 X+1 X 1 0 1 X+1 X X+1 0 0 1 1 1 1 0 X+1 1 0 0 0 0 0 0 X X 0 0 0 0 0 0 X X X X 0 X X 0 X X X 0 0 X X 0 X 0 X X X X 0 0 X X 0 X 0 X 0 X X 0 0 0 0 0 X X X 0 X X 0 0 0 0 0 X 0 0 X X X X 0 0 0 X 0 0 X X X X X 0 0 0 X generates a code of length 85 over Z2[X]/(X^2) who´s minimum homogenous weight is 73. Homogenous weight enumerator: w(x)=1x^0+112x^73+169x^74+226x^75+271x^76+352x^77+409x^78+372x^79+395x^80+366x^81+442x^82+424x^83+447x^84+430x^85+393x^86+454x^87+424x^88+388x^89+382x^90+334x^91+261x^92+268x^93+221x^94+164x^95+130x^96+110x^97+85x^98+72x^99+45x^100+22x^101+9x^102+2x^103+10x^104+1x^106+1x^114 The gray image is a linear code over GF(2) with n=170, k=13 and d=73. This code was found by Heurico 1.10 in 57.4 seconds.