The generator matrix

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

generates a code of length 46 over Z2[X]/(X^2) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+46x^32+146x^33+347x^34+528x^35+811x^36+1052x^37+1473x^38+1940x^39+2503x^40+3036x^41+3618x^42+4330x^43+4723x^44+5144x^45+5464x^46+5348x^47+5011x^48+4486x^49+3676x^50+3408x^51+2529x^52+1832x^53+1521x^54+920x^55+650x^56+396x^57+254x^58+150x^59+105x^60+36x^61+30x^62+16x^63+4x^64+1x^66+1x^72

The gray image is a linear code over GF(2) with n=92, k=16 and d=32.
This code was found by Heurico 1.11 in 130 seconds.