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  1  1  1  1  1  1  1  1  X  1  X  X  X  X  X  1  1
 0  X  0  0  0  0  0  0  0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  X  X  X  X  0  X  X  0  0  X  X  X  X  0  X  X  X  0  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  X  0  0  0  X  0  X  0  X  0  0  X  X  0  X  X  0  0  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  0  X  0  X  X  X  X  0  0  X  X  0  X  0  0  0  X  0  0  X  X
 0  0  0  0  X  0  0  0  0  0  0  0  0  X  0  X  X  X  X  X  X  0  X  X  X  0  X  0  0  X  X  X  0  X  X  X  0  X  0  0  0  X  0  X  X
 0  0  0  0  0  X  0  0  0  0  0  0  X  0  0  X  X  0  X  X  0  X  0  X  0  0  X  X  0  X  X  0  X  X  0  X  X  X  0  X  0  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  X  X  0  0  X  0  0  0  0  X  X  X  0  0  0  0  0  X  0  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  0  X  X  X  0  X  0  X  X  0  X  0  X  X  X  X  0  0  X  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  X  0  X  X  X  X  0  X  X  X  X  0  X  0  0  0  0  X  X  0  0
 0  0  0  0  0  0  0  0  0  X  0  X  X  X  X  X  0  0  0  X  0  0  X  X  0  X  0  0  0  0  0  X  X  0  X  X  X  X  0  0  0  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  X  0  X  X  X  X  X  0  0  X  X  X  0  X  X  0  0  X  0  0  X  0  X  X

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+90x^32+253x^36+16x^38+485x^40+336x^42+974x^44+560x^46+745x^48+112x^50+335x^52+143x^56+37x^60+8x^64+1x^76

The gray image is a linear code over GF(2) with n=90, k=12 and d=32.
This code was found by Heurico 1.16 in 2.21 seconds.