The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1
 0  X  0  0  0  0  0  X  0  0  0  X  X  0  X  X  0  0  X  0  0  X  X  0  0  X  X  X  X  0  0  0  0  X  X  X  0  0  0  X  X
 0  0  X  0  0  0  0  X  0  0  X  X  0  X  X  0  0  X  X  0  0  0  0  X  X  X  0  X  0  0  0  X  X  X  X  0  0  0  X  X  0
 0  0  0  X  0  0  0  X  0  X  X  0  0  X  0  X  0  0  X  0  X  X  0  X  0  0  X  X  0  0  X  X  0  0  X  X  X  X  X  0  X
 0  0  0  0  X  0  0  X  0  X  0  0  X  X  X  0  X  0  X  X  0  0  X  0  X  0  X  X  0  X  X  0  0  0  0  X  X  X  X  X  0
 0  0  0  0  0  X  0  X  X  0  0  0  X  X  0  X  X  0  0  X  X  0  0  0  0  X  X  X  X  0  0  X  X  0  0  X  X  X  0  0  0
 0  0  0  0  0  0  X  X  X  0  X  0  0  0  X  X  0  X  0  X  0  0  X  0  X  X  X  0  0  X  X  0  0  X  X  0  X  0  X  0  0

generates a code of length 41 over Z2[X]/(X^2) who�s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+42x^36+92x^40+64x^42+38x^44+18x^48+1x^80

The gray image is a linear code over GF(2) with n=82, k=8 and d=36.
This code was found by Heurico 1.16 in 0.016 seconds.