The generator matrix
1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 0 1 1 0 X 1 1 1 1 1 1 1 1 0 X 1 0 1 0 1 1 1 0 1 X X X X 1 1 1
0 1 1 0 1 1 0 1 1 X X+1 1 0 X+1 1 1 0 X+1 1 1 0 0 X+1 X+1 X+1 X+1 0 X 1 1 0 1 X+1 1 0 X+1 X+1 1 X 1 X 1 1 1 0 0
0 0 X 0 0 0 0 0 0 0 X 0 0 0 X X 0 0 X X 0 0 0 X X X X X 0 X X X X X X X X 0 X X X X 0 X 0 0
0 0 0 X 0 0 0 0 0 X 0 0 0 0 X X X X X X 0 X 0 0 0 X X 0 0 X 0 0 X 0 X X 0 X X 0 0 0 X 0 0 0
0 0 0 0 X 0 0 0 0 0 X 0 X X 0 X X X 0 X 0 X X 0 0 X 0 X X 0 0 0 X X 0 X 0 0 0 X 0 X 0 X X 0
0 0 0 0 0 X 0 0 0 0 0 X X X X X 0 0 0 0 X X X 0 0 0 X X X X 0 X X 0 X X 0 0 X 0 0 0 0 0 0 0
0 0 0 0 0 0 X 0 0 X 0 0 0 X X 0 0 X 0 X X 0 X X 0 0 X X 0 0 X X X 0 X 0 X X X X 0 X X X 0 0
0 0 0 0 0 0 0 X 0 0 X 0 X X X 0 X X X 0 X 0 0 0 X 0 0 X 0 0 X 0 X X X X 0 X X X 0 0 0 0 X 0
0 0 0 0 0 0 0 0 X 0 0 X X 0 0 0 X X 0 0 X X X X X X X 0 0 0 X X X X 0 0 0 0 X 0 0 0 X X X 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+38x^36+10x^37+44x^38+60x^39+123x^40+112x^41+133x^42+160x^43+137x^44+180x^45+124x^46+152x^47+116x^48+160x^49+123x^50+128x^51+76x^52+50x^53+48x^54+12x^55+15x^56+31x^58+5x^60+8x^62+1x^64+1x^66
The gray image is a linear code over GF(2) with n=92, k=11 and d=36.
This code was found by Heurico 1.16 in 0.431 seconds.