The generator matrix

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

generates a code of length 45 over Z2[X]/(X^2) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+155x^36+260x^38+507x^40+474x^42+674x^44+608x^46+618x^48+364x^50+279x^52+76x^54+55x^56+10x^58+12x^60+3x^64

The gray image is a linear code over GF(2) with n=90, k=12 and d=36.
This code was found by Heurico 1.16 in 1.56 seconds.