The generator matrix

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

generates a code of length 45 over Z2[X]/(X^2) who�s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+81x^38+165x^40+137x^42+135x^44+168x^46+146x^48+92x^50+44x^52+27x^54+15x^56+3x^58+5x^60+4x^62+1x^64

The gray image is a linear code over GF(2) with n=90, k=10 and d=38.
This code was found by Heurico 1.16 in 0.577 seconds.