The generator matrix

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

generates a code of length 46 over Z2[X]/(X^2) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+28x^33+114x^34+220x^35+454x^36+518x^37+777x^38+930x^39+1267x^40+1544x^41+1770x^42+2276x^43+2437x^44+2588x^45+2640x^46+2728x^47+2439x^48+2380x^49+2006x^50+1524x^51+1253x^52+958x^53+758x^54+450x^55+289x^56+160x^57+110x^58+60x^59+47x^60+16x^61+16x^62+4x^63+4x^64+1x^68+1x^70

The gray image is a linear code over GF(2) with n=92, k=15 and d=33.
This code was found by Heurico 1.16 in 79.2 seconds.