The generator matrix

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

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+183x^38+306x^40+274x^42+319x^44+284x^46+239x^48+206x^50+128x^52+69x^54+30x^56+8x^58+1x^60

The gray image is a linear code over GF(2) with n=90, k=11 and d=38.
This code was found by Heurico 1.16 in 36.5 seconds.