The generator matrix

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

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+187x^38+280x^40+313x^42+320x^44+261x^46+233x^48+200x^50+160x^52+55x^54+30x^56+7x^58+1x^62

The gray image is a linear code over GF(2) with n=90, k=11 and d=38.
This code was found by Heurico 1.10 in 0.172 seconds.