The generator matrix 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 X 1 0 1 1 1 0 1 1 0 1 X 1 1 X 1 1 1 0 X 1 1 1 1 0 1 X 1 0 1 1 1 X 1 X 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 X+1 1 X+1 1 0 0 X+1 1 0 X+1 1 X 1 X+1 X+1 0 1 X+1 0 1 X 1 X+1 X 1 X+1 1 0 1 1 X X+1 X+1 0 1 0 1 1 1 1 X X 1 X+1 0 1 X+1 X+1 1 X X+1 1 1 X+1 1 1 1 X+1 1 X+1 1 1 X+1 X+1 1 X+1 1 X+1 X+1 0 0 X 1 1 X 0 0 0 X 0 0 0 0 0 X X X 0 X 0 0 X X X X 0 X 0 0 0 0 X X X X X X X X X X X X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X 0 X X 0 0 X X 0 0 X 0 0 X 0 X X 0 X X X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 X X X X X X X X X X X X 0 0 X X 0 X 0 X 0 X X 0 0 X 0 0 0 0 X 0 X 0 X X X X 0 0 X X 0 X 0 X 0 0 X X 0 0 X X X 0 0 0 0 0 X 0 0 X X 0 X 0 X X 0 X 0 X X X 0 X X 0 0 X X X 0 0 0 X X X X 0 X 0 0 X X 0 X 0 X X 0 0 0 X 0 X X 0 X X X X 0 X 0 0 0 0 0 0 X 0 X 0 0 0 0 X X X X 0 0 0 0 0 0 0 0 0 0 0 X 0 X 0 X X X 0 X 0 X X 0 0 0 0 X 0 0 X X X X X 0 X X 0 X 0 0 0 0 X 0 X X X X 0 X 0 X X X 0 0 X X 0 0 0 0 X 0 X X X 0 0 0 X X 0 0 X 0 X X 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X X 0 X X X 0 X X 0 X 0 X X 0 X X X 0 X X 0 X 0 X 0 X 0 0 0 0 X X 0 0 X X 0 X X X 0 X X X 0 X X 0 X X X X 0 0 0 0 0 0 0 0 0 X X 0 X 0 generates a code of length 83 over Z2[X]/(X^2) who�s minimum homogenous weight is 77. Homogenous weight enumerator: w(x)=1x^0+62x^77+56x^78+86x^80+72x^81+60x^85+67x^86+34x^88+56x^89+6x^93+4x^94+6x^104+1x^118+1x^128 The gray image is a linear code over GF(2) with n=166, k=9 and d=77. This code was found by Heurico 1.16 in 8.72 seconds.