The generator matrix

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

generates a code of length 40 over Z2[X]/(X^2) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+34x^36+62x^37+28x^38+18x^40+44x^41+22x^42+10x^44+16x^45+4x^46+1x^48+4x^49+6x^50+2x^53+4x^54

The gray image is a linear code over GF(2) with n=80, k=8 and d=36.
This code was found by Heurico 1.16 in 0.0127 seconds.