The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  X  1  X  X  X  1  1  X  X  X  1  1  X  1  1  X  X
 0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  X  X  0  0  X  X  X  X
 0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  X  0  0  0  0  0  0  0  X  X  0  X  X  0  X  0  X  X  0  X  X  X  0  0  X  X  0  X  X  0
 0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  X  0  0  0  0  X  X  X  X  X  X  0  0  X  X  X  X  0  X  0  X  0  0  0  X  0  0  0  X  0
 0  0  0  0  X  0  0  0  0  0  0  0  0  0  X  0  0  0  X  X  X  X  X  X  X  X  X  X  0  0  0  X  0  X  0  0  X  X  0  X  X  0  0  0  0
 0  0  0  0  0  X  0  0  0  0  0  0  0  0  X  0  X  X  X  X  X  X  X  0  X  0  0  0  X  0  X  0  0  X  X  0  0  X  X  X  0  X  0  0  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  X  0  0  X  X  0  X  X  0  0  X  X  0  0  0  0  X  X  X  0  X  X  X  0  0  X  X  X  X  X  X  0
 0  0  0  0  0  0  0  X  0  0  0  0  0  X  0  0  0  X  X  X  X  0  X  X  0  X  0  X  X  0  X  0  0  X  0  X  0  X  X  0  X  0  0  0  X
 0  0  0  0  0  0  0  0  X  0  0  0  X  0  0  0  0  X  X  0  X  0  0  0  X  X  X  0  0  0  X  X  X  X  X  0  0  X  0  0  0  X  X  0  0
 0  0  0  0  0  0  0  0  0  X  0  0  X  0  0  0  X  0  0  X  0  X  0  0  X  0  X  X  X  X  X  0  0  0  X  0  0  0  0  X  X  0  X  0  X
 0  0  0  0  0  0  0  0  0  0  X  0  X  X  X  X  X  0  0  0  X  0  X  0  X  0  X  0  X  X  0  0  0  0  0  X  0  0  X  0  X  X  0  0  0
 0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  0  0  X  X  X  X  0  X  X  0  0  X  X  0  0  0  0  0  0  0  X  0  0  0  0  X  X  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+208x^32+4x^34+494x^36+100x^38+999x^40+680x^42+1795x^44+904x^46+1581x^48+340x^50+723x^52+20x^54+267x^56+57x^60+14x^64+3x^68+2x^72

The gray image is a linear code over GF(2) with n=90, k=13 and d=32.
This code was found by Heurico 1.16 in 24.2 seconds.