The generator matrix

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

generates a code of length 82 over Z2[X]/(X^2) who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+23x^78+32x^79+30x^80+48x^81+28x^82+16x^83+22x^84+16x^85+12x^86+16x^87+4x^88+5x^92+1x^94+1x^108+1x^112

The gray image is a linear code over GF(2) with n=164, k=8 and d=78.
This code was found by Heurico 1.16 in 0.094 seconds.