The generator matrix

 1  0  0  0  0  0  0  1  1  1  1  X  1  1  1  X  1  1  1  1  X  1  X  X  0  0  1  0  1  1  1  1  0  X  0  1  X  1  X  1  X  X  X  0  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  1  1  X  1  X  1  1  1  X X+1
 0  0  1  0  0  0  0  0  0  0  0  0 X+1  1  0  X  1  X X+1  X  1 X+1  1  0  X  0 X+1  X  X  0  1  1  X X+1  0  0  X  1  1  X  1  1  X  1  0
 0  0  0  1  0  0  0  0 X+1  X  1  1  X  X X+1  1 X+1  0  1  0  1  X  0  0  1  X X+1  0  1  1  X  0  X X+1 X+1  0  1  X  0 X+1  X  0  X  0  1
 0  0  0  0  1  0  0  0  1 X+1  0  1  X  0  X  X  X  1  1 X+1  1 X+1 X+1  1 X+1  1  0  X X+1  X  1  X  0  X  X X+1  X  0 X+1  1 X+1  X  X  0  0
 0  0  0  0  0  1  0  1  0  1 X+1  1  X X+1 X+1 X+1  0  1  0  0  X  0  0 X+1  X  X  0 X+1  0  1  X  0  1  1  0 X+1  X X+1 X+1  0  0 X+1  1  1  1
 0  0  0  0  0  0  1  1 X+1  0  X X+1  X  X X+1 X+1  1  1  X  X  X  1  1  X X+1  1  X X+1 X+1  0  1  X  X  0  0  1 X+1 X+1 X+1  X  0 X+1  1 X+1  X
 0  0  0  0  0  0  0  X  X  X  X  0  X  0  0  X  0  0  0  X  X  X  X  0  0  X  X  0  0  0  0  0  X  0  0  0  0  X  X  0  0  0  X  X  X

generates a code of length 45 over Z2[X]/(X^2) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+96x^33+239x^34+372x^35+526x^36+812x^37+1059x^38+1214x^39+1527x^40+1834x^41+2153x^42+2396x^43+2525x^44+2660x^45+2721x^46+2678x^47+2423x^48+2008x^49+1630x^50+1208x^51+860x^52+680x^53+442x^54+278x^55+185x^56+94x^57+73x^58+40x^59+17x^60+8x^61+1x^62+6x^63+1x^66+1x^70

The gray image is a linear code over GF(2) with n=90, k=15 and d=33.
This code was found by Heurico 1.16 in 83.9 seconds.