The generator matrix

1 1 X 1 X X 1 1 0 1 1 0 1 0 X 1 1 X 1 X 0 1 X 1 1 X 1 1 X X X 0 1 0 X X 1 1 1 1 X X 1 0 1 0 1 1 1 X 1 0 0 0 0 1 0 1 X X 1 1 1 1 0 0 1 0 X X 1 0 1 1 1 1 X X 1 1 X 0
0 1 1 X 0 1 X+1 X+1 X X 1 X 0 1 1 X+1 X+1 0 X 1 0 X+1 X 0 0 1 X+1 X 1 X 1 1 0 1 1 1 1 X 0 1 1 1 0 1 0 1 X X+1 1 1 1 1 1 0 1 0 1 0 X 1 X X X+1 0 1 1 1 X 1 1 0 0 X+1 1 X 1 1 X 1 0 0 X
0 0 0 0 0 0 X X+1 1 X+1 X+1 1 1 X+1 1 1 X 1 0 0 X X 1 1 0 1 1 X+1 1 X X+1 1 1 X 1 X+1 1 X+1 X 1 0 X 1 X+1 X X 0 X+1 X 0 X X+1 0 1 X+1 0 0 X 1 X X X 1 0 1 X 0 0 X X+1 X+1 0 0 0 X+1 X+1 X 0 X+1 X+1 1 1
0 0 X 1 1 X+1 1 X+1 X X+1 0 X+1 0 X+1 X X+1 1 0 0 1 1 X X+1 1 1 X+1 0 X X 1 1 X 1 X+1 1 0 1 1 1 0 0 0 X 0 X 0 0 X X 1 X+1 1 X 1 X X+1 0 0 0 X+1 X 0 1 X 0 0 X 1 X 1 X+1 1 X+1 X+1 X X+1 0 1 X+1 X X+1 0
0 0 0 0 0 0 0 X X X X X X X 0 0 X 0 X X X X 0 0 X 0 X 0 X 0 X X X X 0 0 X 0 0 0 X 0 0 0 X X 0 0 X 0 0 X X X X X X X 0 0 X 0 0 0 X 0 0 X 0 0 0 0 0 X X 0 X 0 X 0 0 X

generates a code of length 82 over Z2[X]/(X^2) who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+54x^77+70x^78+70x^79+62x^80+36x^81+46x^82+26x^83+24x^84+28x^85+17x^86+20x^87+11x^88+6x^89+7x^90+4x^91+7x^92+1x^94+2x^95+2x^96+2x^97+3x^98+4x^99+5x^100+2x^107+2x^109

The gray image is a linear code over GF(2) with n=164, k=9 and d=77.
This code was found by an older version of Heurico in 0 seconds.