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

generates a code of length 81 over Z2[X]/(X^2) who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+94x^78+50x^80+64x^82+28x^86+10x^88+6x^94+1x^96+2x^104

The gray image is a linear code over GF(2) with n=162, k=8 and d=78.
This code was found by Heurico 1.16 in 0.793 seconds.