The generator matrix

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

generates a code of length 83 over Z2[X]/(X^2) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+12x^81+28x^82+40x^83+28x^84+12x^85+2x^86+1x^96+2x^98+2x^100

The gray image is a linear code over GF(2) with n=166, k=7 and d=81.
This code was found by Heurico 1.16 in 0.105 seconds.