The generator matrix
1 0 0 0 0 1 1 1 0 1 1 X 1 0 1 0 0 1 0 1 X 1 1 1 0 1 X 1 X 0 1 1 1 1 X X X X 1 1 1 X X 0 0 X
0 1 0 0 0 0 0 0 0 1 1 1 1 1 X+1 X 1 0 1 X 0 X 0 X 1 X+1 0 0 1 1 X 1 X 0 1 0 1 1 1 X+1 X+1 0 X 1 1 0
0 0 1 0 0 0 1 1 1 1 X+1 0 0 X+1 X 0 X+1 0 X X+1 1 X X+1 0 1 X 0 0 0 X X+1 0 1 1 1 X X 1 X+1 0 X 1 1 X+1 X+1 0
0 0 0 1 0 1 1 0 1 X X+1 1 0 1 1 X X X 0 X+1 X X+1 X+1 X 1 0 1 1 X 1 X X+1 1 1 0 1 0 1 1 1 X+1 1 1 1 X X
0 0 0 0 1 1 0 1 X+1 X X+1 X+1 1 X 0 1 1 0 X X X X+1 X 1 X+1 X 1 0 1 0 0 1 X+1 1 X X X 0 X X X X+1 X X+1 X+1 0
0 0 0 0 0 X 0 0 X 0 X X X X 0 X 0 X 0 X 0 0 0 X X X X X X 0 0 0 0 0 X 0 X X X 0 X X 0 0 X 0
0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X X X X 0 0 X X 0 X X X X X 0 X 0 0 0 X 0 0 0 X 0 X 0 0
0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X 0 X X 0 X X 0 X 0 0 X X
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+163x^36+468x^38+760x^40+963x^42+1104x^44+1246x^46+1185x^48+992x^50+695x^52+380x^54+182x^56+44x^58+6x^60+2x^62+1x^74
The gray image is a linear code over GF(2) with n=92, k=13 and d=36.
This code was found by Heurico 1.16 in 5.99 seconds.