The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  X  1  X  1  1  1  0  0  1  1  0  X  1  0  0  1  1  1  1  X  X  X  0  X  1  1  1  1  0  0  1  X  X  1
 0  1  0  0  0  0  0  0  0  1 X+1  1  1  1  1  1  X  1  1  X  X  1  X  0  1  1  1 X+1  0  0  1  0  X  1  1 X+1  X  1 X+1  1  1  1  0  1  0
 0  0  1  0  0  0  1  1  1  1  1  0  X  1  0  1  0 X+1  1  X X+1 X+1  X X+1  X  X  0  1  1 X+1  0  1  1 X+1  0  X  1  X  X  1 X+1 X+1  1  1  0
 0  0  0  1  0  1  1  0  1  0  0  1  1  X  X  1  X X+1  0 X+1  X  1  1 X+1  0  1  X  1  1  X  0  0  X  1  0  1  1  X  0  0 X+1 X+1  X  0  0
 0  0  0  0  1  1  0  1  1  0  1  0  X  0  1  1 X+1  1 X+1  X  X  0 X+1  1 X+1 X+1  0  0  0  X  0  1 X+1  X  1  X X+1  1  0  0 X+1  0  0  X  0
 0  0  0  0  0  X  0  0  0  0  0  0  X  X  0  X  0  X  0  X  X  0  0  X  0  X  0  0  X  0  X  X  X  X  0  0  X  0  0  X  0  0  0  0  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  X  0  0  0  0  X  X  X  0  X  0  0  0  X  X  X  X  0  X  0  0  X  0  0  X  0
 0  0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  0  X  X  X  0  0  X  X  0  0  0  X  X  X  0  X  0  X  X  X  X  0
 0  0  0  0  0  0  0  0  X  0  X  X  X  X  0  0  0  0  0  X  0  0  X  X  X  0  X  0  0  X  X  0  0  0  0  X  0  0  0  X  0  X  X  0  0
 0  0  0  0  0  0  0  0  0  X  X  0  0  X  X  X  0  0  0  0  X  X  X  X  X  0  0  0  0  X  X  0  X  X  X  X  0  X  0  0  X  X  X  X  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+61x^32+130x^33+243x^34+412x^35+542x^36+700x^37+1063x^38+1250x^39+1454x^40+1892x^41+2283x^42+2414x^43+2361x^44+2642x^45+2809x^46+2476x^47+2159x^48+2098x^49+1737x^50+1264x^51+864x^52+616x^53+489x^54+338x^55+192x^56+104x^57+73x^58+38x^59+41x^60+10x^61+7x^62+5x^64

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 74.2 seconds.