The generator matrix

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

generates a code of length 45 over Z2[X]/(X^2) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+93x^32+278x^34+647x^36+978x^38+1587x^40+2144x^42+2389x^44+2531x^46+2165x^48+1632x^50+1041x^52+525x^54+233x^56+88x^58+35x^60+13x^62+1x^64+2x^66+1x^70

The gray image is a linear code over GF(2) with n=90, k=14 and d=32.
This code was found by Heurico 1.16 in 37.8 seconds.