The generator matrix

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

generates a code of length 41 over Z2[X]/(X^2) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+161x^34+278x^36+333x^38+283x^40+309x^42+277x^44+177x^46+160x^48+38x^50+25x^52+6x^54

The gray image is a linear code over GF(2) with n=82, k=11 and d=34.
This code was found by Heurico 1.16 in 0.349 seconds.