The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  X  1  0  1  1  X  0  1  1  1  0  0  0  X  X  0  X  X  1  X  1  1  1  1  1  X  1  X  1  1  X  X  1  1
 0  1  0  0  0  0  0  0  0  1  1  1 X+1  1  X  X  0  1  X X+1  0  X  X  1  0  1  0  1  1 X+1  0  X  1 X+1  1 X+1  X X+1  1  0  1  1  1  X  X
 0  0  1  0  0  0  1  1  1  X  1 X+1 X+1  1 X+1  1  1  0  0 X+1 X+1  1  1  0  0 X+1  X X+1  1  1  1  1  X  0  1  X  1  X X+1 X+1  X X+1  X  0  0
 0  0  0  1  0  1  1  0 X+1  X  0  X X+1 X+1  X X+1 X+1 X+1  1 X+1  X  X X+1  X  1  X  1  X  X  1  X  1  X  X X+1 X+1 X+1 X+1 X+1  X  0  0  0 X+1  1
 0  0  0  0  1  1  0 X+1 X+1  1  X X+1 X+1  X  1  X  1 X+1 X+1 X+1  1  X  1  0  X X+1  0 X+1  X  0 X+1 X+1  X  X  X X+1  1  X  0  X X+1  0  1  X  0
 0  0  0  0  0  X  0  X  X  X  0  X  X  X  0  X  0  0  X  0  0  0  0  X  0  0  X  0  X  X  X  X  X  0  0  X  0  0  X  X  0  X  0  0  0
 0  0  0  0  0  0  X  0  X  0  X  X  0  0  0  X  X  X  X  X  X  X  0  X  X  0  0  X  X  X  0  0  X  0  0  X  0  X  0  0  0  X  X  X  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+64x^36+122x^37+155x^38+246x^39+241x^40+228x^41+271x^42+268x^43+293x^44+322x^45+318x^46+288x^47+283x^48+254x^49+217x^50+180x^51+113x^52+92x^53+50x^54+42x^55+22x^56+6x^57+12x^58+6x^60+1x^62+1x^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 1.36 seconds.