The generator matrix 1 0 0 0 0 0 1 1 1 X 0 0 0 0 1 1 1 1 0 X X 0 1 1 X 0 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 X X 1 0 1 1 X 0 0 X X 1 1 1 X 0 X 1 1 1 0 0 X 1 1 X 0 1 1 1 1 1 X X 0 X X 1 0 X 1 X 0 1 0 0 0 0 0 0 0 0 1 X 1 1 0 X 1 1 1 1 0 1 1 1 X 1 X X 0 X+1 X+1 0 X 0 0 1 1 0 X+1 X 1 0 X 1 1 X 1 1 1 1 1 1 0 X+1 1 0 1 1 X+1 0 X 1 1 X X+1 X+1 1 1 X X+1 0 X+1 X X 0 1 0 1 0 1 1 X+1 X 0 0 1 0 0 0 0 0 0 0 X 1 1 X+1 X+1 X+1 X 0 1 X+1 1 X X+1 1 1 0 0 X 1 X+1 0 X+1 X+1 X+1 X 0 X 1 0 1 X+1 1 1 X 0 1 1 X+1 1 X X 1 X+1 0 0 1 X+1 X X X X+1 0 X+1 1 0 0 0 1 1 1 0 X X 0 1 1 0 X+1 X+1 0 X 0 1 0 0 0 1 0 0 0 1 1 1 X+1 X+1 1 X 0 X+1 0 X+1 X X+1 X+1 1 X 1 X 0 X+1 0 0 0 X+1 X+1 X 1 X 1 X 0 0 1 X+1 X X+1 0 1 0 X X X+1 X+1 X X 0 1 X+1 X+1 X 0 X X 1 1 1 0 0 1 X+1 X+1 X 1 1 0 X+1 1 1 X X X 0 0 X 0 X+1 0 0 0 0 1 0 1 1 X X+1 1 1 1 0 X+1 0 1 X X+1 0 X X 0 0 1 X+1 1 X X X+1 X X+1 X 0 1 X+1 1 X+1 X X+1 1 0 0 1 X 1 X+1 X 1 X+1 X+1 1 1 X+1 1 0 X+1 0 X+1 X 1 0 X X+1 X+1 1 X+1 X X 1 X X 0 1 1 X 1 X+1 1 1 X+1 1 0 0 0 0 0 0 1 1 X X+1 1 0 X 1 X+1 0 X X X X 0 1 X+1 0 1 X+1 1 0 0 1 1 X X+1 X+1 X X+1 X+1 X+1 0 1 0 0 X 1 0 0 1 0 0 0 X+1 X 1 X+1 X X 0 1 0 1 1 X 0 X X X+1 1 1 1 X+1 X 0 0 1 0 1 X+1 X+1 X+1 1 1 0 1 0 0 0 0 0 0 0 X 0 X 0 0 0 0 0 X X X X 0 0 0 0 X X 0 0 X X X 0 0 0 0 0 0 0 X 0 X X 0 X X 0 X X 0 X X X 0 0 0 X 0 X X X 0 X 0 X X 0 X X X 0 X 0 0 0 0 0 X 0 X X 0 0 X 0 X generates a code of length 83 over Z2[X]/(X^2) who�s minimum homogenous weight is 71. Homogenous weight enumerator: w(x)=1x^0+86x^71+184x^72+208x^73+330x^74+372x^75+302x^76+388x^77+385x^78+392x^79+432x^80+450x^81+430x^82+432x^83+468x^84+394x^85+417x^86+366x^87+375x^88+384x^89+304x^90+260x^91+217x^92+172x^93+141x^94+116x^95+55x^96+46x^97+32x^98+24x^99+12x^100+6x^101+9x^102+1x^104+1x^108 The gray image is a linear code over GF(2) with n=166, k=13 and d=71. This code was found by Heurico 1.16 in 18.6 seconds.