The generator matrix

 1  0  0  0  0  0  0  0  1  1  1  0  1  0  1  X  0  X  1  1  0  1  1  1  X  1  0  1  X  X  1  X  1  0  0  0  1  0  0  1  1  1  X  1  1
 0  1  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  1  1  1  1  1 X+1  1  1  1 X+1  X  1 X+1 X+1 X+1  1  0  X
 0  0  1  0  0  0  0  0  0  0  0  0  0  X  1  1  1  1  X  1  1 X+1  1  0  1 X+1  1  X  1  X  0  1  X X+1  1  X  0  X  X  X  1  1  0  0  0
 0  0  0  1  0  0  0  0  0  1  1  X  0  1  X  0 X+1 X+1 X+1  1  1 X+1  0  1  0 X+1  X  0  1 X+1  0  X X+1  0  0 X+1 X+1  1  1 X+1  X X+1  X  1  0
 0  0  0  0  1  0  0  0  1  0  X  1 X+1  0  0  X X+1 X+1  X  1 X+1  X  0  X X+1 X+1  0 X+1  0  0 X+1  1  1  1  0  1  0 X+1  0 X+1 X+1  X  0  1  1
 0  0  0  0  0  1  0  0  1  X X+1  X X+1  1 X+1 X+1  X X+1 X+1 X+1  X  0  0 X+1  1 X+1  X  0 X+1  0  X  0 X+1  0  1  0  0  X X+1 X+1  1  X  0 X+1  0
 0  0  0  0  0  0  1  0  1 X+1  0  1  X  1  1  X X+1  0  0  X  X X+1  X X+1 X+1  0 X+1  X X+1 X+1 X+1  X X+1  X  1  1  0 X+1 X+1  0  0  0  1  X  1
 0  0  0  0  0  0  0  1  X  1  X  1 X+1  1  1  1  1 X+1  1  X  X  X X+1  0  X X+1  0  0 X+1 X+1 X+1  X X+1 X+1 X+1  1 X+1  1  1  X  1  X  0 X+1  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+107x^32+256x^33+467x^34+704x^35+1049x^36+1356x^37+1876x^38+2494x^39+3206x^40+3704x^41+4347x^42+4920x^43+5185x^44+5612x^45+5321x^46+5110x^47+4624x^48+3988x^49+3237x^50+2508x^51+1915x^52+1288x^53+866x^54+566x^55+370x^56+164x^57+133x^58+76x^59+43x^60+16x^61+9x^62+6x^63+12x^64

The gray image is a linear code over GF(2) with n=90, k=16 and d=32.
This code was found by Heurico 1.11 in 147 seconds.