The generator matrix

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

generates a code of length 40 over Z2[X]/(X^2) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+97x^34+210x^36+191x^38+135x^40+122x^42+110x^44+84x^46+51x^48+17x^50+4x^52+1x^54+1x^56

The gray image is a linear code over GF(2) with n=80, k=10 and d=34.
This code was found by Heurico 1.16 in 0.111 seconds.