The generator matrix

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

generates a code of length 81 over Z2[X]/(X^2) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+17x^76+32x^77+24x^78+38x^79+24x^80+20x^81+26x^82+6x^83+16x^84+8x^85+12x^86+18x^87+2x^88+4x^89+2x^90+2x^91+3x^92+1x^144

The gray image is a linear code over GF(2) with n=162, k=8 and d=76.
This code was found by Heurico 1.16 in 0.094 seconds.