The generator matrix

 1  0  0  0  0  0  1  1  1  X  1  1  X  1  0  0  1  1  0  1  0  1  1  1  0  1  0  X  X  1  1  1  X  0  0  X  0  1  1  1  X  1  1  1  1
 0  1  0  0  0  0  0  0  0  1  1 X+1  0 X+1  1  1 X+1  X  0 X+1  X  X  1  1  1  1  1  X  X  1  X  X  1  1  0  1  1  X  X  0  1  1 X+1  X  0
 0  0  1  0  0  0  0  0  0  0  1 X+1  1  X  0 X+1 X+1 X+1  X  X  1  1  0 X+1  X  X  1  1  1 X+1  0  0  0 X+1  X  0 X+1  1  1 X+1  0  0 X+1  1  0
 0  0  0  1  0  0  0  1  1  1  0 X+1 X+1  1  1 X+1  1  1  1  0  1  X  X X+1  0  1 X+1  X  0  X  1  0 X+1 X+1  0 X+1  X  X  0 X+1  0 X+1  0  1  0
 0  0  0  0  1  0  1  1  0  1  0  1 X+1  X  X X+1  X  0 X+1  0  X  1 X+1 X+1  1 X+1 X+1  1  0  0  0  X  0 X+1  1  X  1  0  1  1  1  1  0  0  0
 0  0  0  0  0  1  1  0  1  1  X X+1 X+1  1  1  X  0  X X+1 X+1  0  1  X  X  X  1  1  0 X+1 X+1  X  1  X X+1 X+1  X  1  1  1 X+1  1  0 X+1 X+1  0
 0  0  0  0  0  0  X  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  X  0  0  0  X  0
 0  0  0  0  0  0  0  X  0  0  X  0  X  X  X  X  0  X  0  X  X  X  X  0  0  0  0  0  X  X  X  0  0  X  X  X  0  0  X  0  X  0  0  0  0
 0  0  0  0  0  0  0  0  X  0  0  X  X  0  X  X  X  X  X  X  0  X  0  X  X  X  0  X  X  X  X  X  X  0  0  X  X  0  X  0  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+30x^32+136x^33+254x^34+402x^35+550x^36+810x^37+1028x^38+1218x^39+1521x^40+1848x^41+2099x^42+2294x^43+2676x^44+2676x^45+2637x^46+2650x^47+2298x^48+1900x^49+1572x^50+1258x^51+899x^52+694x^53+518x^54+338x^55+197x^56+116x^57+75x^58+30x^59+18x^60+12x^61+9x^62+2x^63+1x^64+1x^68

The gray image is a linear code over GF(2) with n=90, k=15 and d=32.
This code was found by Heurico 1.16 in 76.9 seconds.