The generator matrix

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

generates a code of length 41 over Z2[X]/(X^2) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+36x^33+89x^34+88x^35+154x^36+156x^37+139x^38+136x^39+169x^40+180x^41+142x^42+184x^43+102x^44+116x^45+104x^46+88x^47+73x^48+24x^49+31x^50+16x^51+8x^52+5x^54+5x^56+2x^58

The gray image is a linear code over GF(2) with n=82, k=11 and d=33.
This code was found by Heurico 1.16 in 11.3 seconds.