The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  X  1  1  X  X  1  1  1  X  X  X  X
 0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  0  0  X  X  X  0  X  X  X  0  0  X  X  X  X  X  X  X  X  X  X  X  X  X  0
 0  0  X  0  0  0  0  0  0  0  0  0  X  0  0  X  X  X  X  X  X  0  0  0  0  0  X  X  X  X  X  X  X  0  0  0  0  X  0  0  0  X  0  X  X  X
 0  0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  X  0  X  X  X  0  X  X  X  0  X  0  0  X  X  0  0  0  X  X  X  X  X  0  0  0  0  X  X  0
 0  0  0  0  X  0  0  0  0  0  0  X  0  X  X  0  X  X  X  0  X  X  X  0  0  0  0  0  X  0  0  X  X  X  0  X  X  X  0  0  X  X  0  X  X  X
 0  0  0  0  0  X  0  0  0  0  0  X  0  0  X  X  X  X  X  0  0  X  0  0  X  X  0  0  0  X  X  0  X  0  X  0  X  X  X  X  0  0  0  0  0  0
 0  0  0  0  0  0  X  0  0  0  X  0  0  0  X  X  0  0  X  0  0  X  X  0  X  0  X  0  X  0  X  0  X  X  X  X  X  0  X  0  X  X  X  X  X  0
 0  0  0  0  0  0  0  X  0  0  X  0  0  X  0  0  X  0  0  X  0  X  X  0  0  X  X  X  0  0  X  X  0  X  X  0  X  X  X  0  0  X  0  X  X  0
 0  0  0  0  0  0  0  0  X  0  X  X  X  X  0  0  0  0  X  0  0  0  X  X  X  X  0  0  0  X  0  X  X  X  0  X  X  X  X  X  0  X  X  0  0  X
 0  0  0  0  0  0  0  0  0  X  X  X  X  0  0  X  X  X  X  X  0  X  0  X  0  X  0  X  X  0  0  X  0  X  X  X  0  X  X  X  X  0  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+114x^36+12x^38+280x^40+112x^42+380x^44+264x^46+413x^48+112x^50+210x^52+12x^54+103x^56+32x^60+2x^64+1x^72

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 0.603 seconds.