The generator matrix

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

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+132x^33+205x^34+338x^35+566x^36+770x^37+1062x^38+1218x^39+1530x^40+1876x^41+2121x^42+2438x^43+2617x^44+2640x^45+2666x^46+2592x^47+2375x^48+2064x^49+1600x^50+1258x^51+924x^52+582x^53+475x^54+318x^55+156x^56+120x^57+57x^58+30x^59+21x^60+8x^61+4x^62+2x^64+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 1.11 in 33.6 seconds.