The generator matrix
1 0 0 0 1 1 1 0 1 1 1 1 X X X X 0 X X X 1 1 0 X 1 1 1 1 1 0 1 1 1 X 1 1 0 X X 0 0 1 1 1 1 1
0 1 0 0 0 1 1 1 0 0 1 X+1 1 0 1 1 X 1 1 1 X+1 1 0 0 0 X X+1 0 X+1 1 0 0 X+1 1 X+1 X 0 1 1 1 X 0 1 X 0 0
0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 X 1 1 0 X+1 1 X X 1 X 1 X+1 0 1 0 1 X X+1 X+1 X 1 X X X+1 X 1 X 0 0 0 0
0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 X X 0 X+1 1 1 0 1 1 0 1 0 1 1 X X X 0 X+1 X X 1 X+1 0 X 1 X+1 X+1 1 X 0
0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 X X X 0 X X X 0 0 X 0 X 0 X 0 0 X X 0 0 0 X X X X X X X 0
0 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 X 0 X X X X 0 0 X 0 0 X 0 0 X X 0 0 0 X 0 0 X X X X X X 0 0
0 0 0 0 0 0 X 0 0 0 0 X 0 0 X X 0 X X X 0 X X 0 0 0 X X 0 X 0 X 0 0 X X X X 0 0 0 0 X 0 X 0
0 0 0 0 0 0 0 X 0 0 0 X 0 0 X X 0 X X 0 X 0 0 X 0 0 X X 0 0 X 0 X 0 0 X X 0 X 0 0 X 0 0 0 0
0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 0 X X X X X X X X X X X 0 X X X X 0 X 0 X X X 0 0 X 0 X 0
0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X 0 X X X 0 0 0 X X 0 0 X X 0 0 0 X X 0 0 0 X 0 X 0 0 X 0
0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X 0 X X X X 0 0 X 0 0 0 0 X X X X X X X 0 X X 0 X X X 0 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+42x^32+40x^33+199x^34+212x^35+404x^36+494x^37+778x^38+980x^39+1310x^40+1554x^41+1773x^42+2156x^43+2279x^44+2632x^45+2622x^46+2720x^47+2474x^48+2428x^49+1931x^50+1628x^51+1247x^52+878x^53+702x^54+420x^55+362x^56+138x^57+159x^58+68x^59+69x^60+28x^61+26x^62+8x^63+3x^64+2x^66+1x^68
The gray image is a linear code over GF(2) with n=92, k=15 and d=32.
This code was found by Heurico 1.16 in 72.7 seconds.