The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  1  1  0  1  1  X  1  1  1  1  0  X  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  1
 0  1  1  0  1  1  0 X+1  1  1  0  1 X+1  0  1 X+1  X  1  0  X X+1  1  1  1  0  0  0  X  0  X  X  X  0 X+1 X+1  1 X+1 X+1 X+1 X+1
 0  0  X  0  0  0  0  0  0  X  X  X  0  0  X  0  X  0  X  X  X  X  X  X  0  X  0  X  X  X  0  0  0  0  0  0  0  0  0  X
 0  0  0  X  0  0  0  X  0  X  X  0  0  X  0  X  0  0  X  0  X  0  X  X  0  X  X  0  0  X  X  0  0  0  0  X  0  X  X  X
 0  0  0  0  X  0  0  0  X  X  0  X  X  X  0  X  X  0  0  0  X  X  0  0  0  X  X  0  0  0  X  X  X  0  X  0  0  X  X  0
 0  0  0  0  0  X  0  X  X  X  0  0  0  0  X  X  0  0  X  X  0  X  0  X  X  X  X  X  0  0  X  X  0  X  X  X  X  X  0  0
 0  0  0  0  0  0  X  X  0  X  0  X  X  0  0  X  X  X  X  X  0  0  X  X  X  X  0  0  X  X  X  X  X  X  0  X  0  0  X  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+29x^34+48x^35+51x^36+48x^37+37x^38+32x^39+31x^40+32x^41+42x^42+48x^43+34x^44+48x^45+15x^46+7x^48+1x^50+3x^52+3x^54+1x^56+1x^62

The gray image is a linear code over GF(2) with n=80, k=9 and d=34.
This code was found by Heurico 1.16 in 0.032 seconds.