The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  X  1  1  1  1  0  1  X  1  1  1  0  1  1  1  0  1  1  X  0  1  1  X  1  0  X  1  1  0
 0  1  1  0  1  1  0  1  1  X X+1  1  1  0 X+1  0 X+1  1 X+1  1  X  0 X+1  1 X+1  1  0  1 X+1  X  1  1 X+1  0  1  0  1  1  X  X  X
 0  0  X  0  0  0  0  0  0  0  X  0  0  X  X  X  X  0  0  0  0  X  X  X  X  0  0  0  0  X  X  X  0  X  0  0  X  0  X  0  X
 0  0  0  X  0  0  0  0  0  X  0  0  0  0  X  X  0  X  X  X  X  X  X  X  X  X  X  X  X  0  0  0  X  0  0  0  0  0  0  0  X
 0  0  0  0  X  0  0  0  0  0  X  X  X  X  0  X  X  X  X  X  0  X  X  X  0  0  0  0  X  X  0  X  0  0  X  X  X  0  0  X  0
 0  0  0  0  0  X  0  0  X  0  0  X  0  X  0  X  0  X  0  0  0  X  X  X  X  0  X  X  X  0  X  0  0  0  X  0  X  X  0  X  X
 0  0  0  0  0  0  X  0  X  X  0  0  X  X  0  0  X  0  X  0  X  X  X  X  0  0  0  X  0  X  0  0  X  0  0  X  0  0  0  X  X
 0  0  0  0  0  0  0  X  X  0  X  0  X  X  X  0  0  X  0  X  X  X  0  X  X  X  0  X  0  0  0  X  0  0  X  0  0  X  X  X  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+73x^34+142x^36+146x^38+165x^40+161x^42+146x^44+110x^46+45x^48+13x^50+8x^52+8x^54+5x^56+1x^58

The gray image is a linear code over GF(2) with n=82, k=10 and d=34.
This code was found by Heurico 1.16 in 0.363 seconds.