The generator matrix

 1  0  0  0  1  1  1  0  1  1  1  X  1  0  0  X  1  1  1  1  X  X  X  1  0  1  0  1  0  1  1  0  1  1  X  1  1  1  0  1  0  1  X  1  1  1
 0  1  0  0  0  1  1  1 X+1  X  1  1  X  X  1  1 X+1  X  1 X+1  1  X  1 X+1  0  X  1 X+1  X  0 X+1  1 X+1  X  1 X+1  X  1  X  1  1  1  X X+1 X+1  1
 0  0  1  0  1  1  0  1  1  1  X  0  0  1  X X+1  X  0 X+1 X+1  X  X X+1  0  1  0  0 X+1  1  1  X  1 X+1  X X+1  0  X  X  X  0  1  X  1 X+1  1 X+1
 0  0  0  1  1  0  1 X+1 X+1  0  X X+1  1 X+1  X  X X+1  X  X X+1  1  1 X+1  0 X+1  1  1 X+1  1  0  1  0  0 X+1  0  X  1  1  1  1 X+1  X  0  X  X  X
 0  0  0  0  X  0  0  X  X  X  X  X  X  X  X  0  0  0  X  X  X  0  0  0  0  X  0  X  0  0  X  X  0  X  X  0  0  0  X  X  0  0  X  0  0  X
 0  0  0  0  0  X  0  0  0  0  X  X  0  X  0  X  X  X  0  X  0  X  0  0  X  0  X  0  X  X  0  X  X  X  X  X  0  X  0  X  0  0  0  X  X  X
 0  0  0  0  0  0  X  0  0  X  X  0  0  0  X  X  0  X  0  0  0  0  0  X  0  X  X  X  X  X  X  0  X  0  X  0  0  X  X  0  X  X  0  X  0  0

generates a code of length 46 over Z2[X]/(X^2) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+39x^38+84x^39+130x^40+154x^41+152x^42+148x^43+149x^44+156x^45+145x^46+130x^47+122x^48+134x^49+115x^50+114x^51+80x^52+58x^53+52x^54+34x^55+23x^56+8x^57+9x^58+2x^59+6x^60+2x^61+1x^68

The gray image is a linear code over GF(2) with n=92, k=11 and d=38.
This code was found by Heurico 1.16 in 0.357 seconds.