The generator matrix

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

generates a code of length 82 over Z2[X]/(X^2) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+23x^76+54x^77+60x^78+64x^79+51x^80+34x^81+35x^82+42x^83+25x^84+22x^85+12x^86+12x^87+17x^88+8x^89+14x^90+10x^91+8x^92+2x^93+2x^94+1x^96+3x^98+6x^101+2x^102+2x^104+2x^105

The gray image is a linear code over GF(2) with n=164, k=9 and d=76.
This code was found by Heurico 1.16 in 0.125 seconds.