The generator matrix

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

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+68x^36+56x^38+34x^40+32x^42+43x^44+8x^46+11x^48+2x^56+1x^60

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 0.0302 seconds.