The generator matrix

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

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+70x^36+104x^37+150x^38+240x^39+240x^40+282x^41+317x^42+268x^43+234x^44+280x^45+295x^46+308x^47+279x^48+248x^49+247x^50+168x^51+143x^52+104x^53+43x^54+36x^55+20x^56+6x^57+4x^58+4x^59+4x^60+1x^68

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 1.33 seconds.