The generator matrix

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

generates a code of length 40 over Z2[X]/(X^2) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+86x^33+133x^34+140x^35+161x^36+156x^37+186x^38+150x^39+152x^40+136x^41+111x^42+142x^43+130x^44+116x^45+83x^46+66x^47+35x^48+18x^49+28x^50+14x^51+1x^52+3x^54

The gray image is a linear code over GF(2) with n=80, k=11 and d=33.
This code was found by Heurico 1.16 in 8.15 seconds.