The generator matrix

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

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+114x^37+152x^38+222x^39+244x^40+256x^41+277x^42+332x^43+294x^44+266x^45+283x^46+270x^47+272x^48+278x^49+223x^50+170x^51+150x^52+92x^53+53x^54+28x^55+22x^56+18x^57+4x^58+2x^59+2x^60+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 1.10 in 0.5 seconds.