The generator matrix

 1  0  0  0  1  1  1  X  X  X  0  1  1  1  1  1  1  0  X  0  1  0  1  1  X  1  X  1  X  1  X  1  0  0  X  1  1  1  0  1  1  1  1  1  1  0  1  1  1  0  1  X  0  0  1  1  1  1  X  1  1  X  X  X  1  1  0  1  1  1  0  X  0  X  1  X  0  0  1  0  X  1
 0  1  0  0  0  0  0  0  1  1  1  1 X+1  1  1  X  0  X  X  1  1  0 X+1  0  1  0  1 X+1  1 X+1  X  1  X  1  0  1  1  0  1  X  1  X X+1 X+1  X  1  X  X  X  0 X+1  1  1  X  1  0 X+1  0  1  0  0  X  0  X X+1  0  1  X  1  1  1  X  0  X  X  0  0  0 X+1  1  1 X+1
 0  0  1  0  0  1 X+1  1  X X+1  1  1 X+1  0  X  0  0  X  1 X+1  0  1  1  1  1  1  X  X  0 X+1  1  X  1  0  0 X+1  0  0  1  0  1 X+1  X X+1  1  0  1  X  0  X  1  0  X  1  0  0  1 X+1 X+1  X  X  1  1  1  1  1 X+1  X  X  X  0  1  1  1  X  1  1  0 X+1 X+1  1  0
 0  0  0  1  1  1  0  1 X+1  1  X  X X+1  1  0  0 X+1  1 X+1 X+1  1  X  0  X  0  1  0  X  1 X+1  0  1 X+1  X  1  0  1  X  X  1  1  1  X  1  X  1  0  1  1  1  1  0  1  1 X+1  X  1 X+1 X+1  1  1 X+1 X+1  0  1  X  1 X+1  1  X  X X+1  0  1  1  0  0  1  X  X X+1  0
 0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  X  X  X  X  X  0  X  X  0  0  X  X  X  0  X  X  0  X  0  X  X  X  0  0  X  X  X  X  0  0  X  0  X  0  0  X  0  X  0  X  0  X  X  0  X  X  X  0
 0  0  0  0  0  X  X  0  0  0  0  X  X  X  X  X  X  X  X  X  0  X  0  0  0  X  0  X  0  X  0  0  X  X  X  0  X  X  0  0  0  0  0  0  0  0  X  0  X  0  0  X  0  X  0  0  X  0  X  0  X  0  X  X  0  X  X  0  X  0  X  X  X  X  X  X  0  X  X  X  0  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+284x^76+317x^80+214x^84+100x^88+56x^92+32x^96+14x^100+6x^104

The gray image is a linear code over GF(2) with n=164, k=10 and d=76.
This code was found by Heurico 1.16 in 16.2 seconds.