The generator matrix
1 0 0 1 1 1 0 1 1 1 1 1 0 X 0 1 0 1 1 0 X 1 1 1 1 1 1 0 1 1 0 1 X 0 X 1 X 1 1 0 0 0 0 1 1 1
0 1 0 1 0 1 1 0 0 1 X+1 X 1 1 0 X 0 X+1 X+1 1 1 0 1 X+1 1 X X+1 1 1 0 1 0 1 X 0 X 0 X+1 1 1 1 1 X X+1 0 0
0 0 1 1 1 0 1 0 1 X+1 X 1 X 1 1 0 1 X+1 0 0 1 X+1 X+1 0 1 1 X+1 X+1 0 X+1 0 X+1 X+1 1 1 X 1 X 1 X+1 X X 1 X+1 X 0
0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 X X X 0 X X 0 X X X X X 0 0 X X X 0 0 0 0 X X 0
0 0 0 0 X 0 0 0 0 0 0 0 X X X X 0 X 0 X 0 X X 0 0 0 0 X X X X X 0 X 0 0 0 0 X X 0 X 0 X X 0
0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X X X X 0 X 0 X 0 X 0 0 X X X X 0 X 0 0 0 0 X 0
0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X X X X X X 0 X 0 0 0 X 0 0 X X X X 0 X 0 0 0 0 X 0 0 X X 0
0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 X X X 0 X X X 0 0 X 0 0 X X 0 X 0 0 X 0 X 0 X 0 X 0 X 0 0 0
0 0 0 0 0 0 0 0 X 0 0 X X X X X 0 X 0 X X 0 X 0 X X X X 0 0 X 0 0 0 0 0 X X 0 0 X 0 0 0 0 0
generates a code of length 46 over Z2[X]/(X^2) who´s minimum homogenous weight is 36.
Homogenous weight enumerator: w(x)=1x^0+66x^36+52x^37+108x^38+160x^39+212x^40+206x^41+254x^42+276x^43+247x^44+346x^45+273x^46+304x^47+289x^48+292x^49+229x^50+232x^51+180x^52+112x^53+122x^54+48x^55+26x^56+14x^57+28x^58+4x^59+3x^60+2x^61+9x^62+1x^66
The gray image is a linear code over GF(2) with n=92, k=12 and d=36.
This code was found by Heurico 1.16 in 1.56 seconds.