The generator matrix

 1  0  0  0  0  1  1  1  X  1  1  X  1  1  1  1  1  0  X  1  0  0  1  X  0  X  0  1  X  1  1  1  1  0  1  0  X  X  0  1  X  X  X  1  1  1
 0  1  0  0  0  0  0  0  0  1  1  1  0  0 X+1 X+1  X  1  X X+1  X  X X+1  0  1  1  X X+1  1  1  X  1  0  1  0  1  1  X  1  0  X  1  X  X  X X+1
 0  0  1  0  0  0  1  1  1  1 X+1  0  X  0  0  X X+1  X  1  1  1  0  1  0  1  X  1  X  1 X+1  1  0  0  0  1  X  1  1  1 X+1  1  X  X  X  0  1
 0  0  0  1  0  1  1  X X+1  0 X+1  1  0 X+1  0  1  X  X  0  X X+1  1  1  1  X  0  0  1  1  1  1 X+1  1  1  X  1  0 X+1  0  0  1 X+1  1  X  0  0
 0  0  0  0  1  1  X X+1  1  0  1  1  1  0  X X+1  0 X+1 X+1 X+1  1  1  0 X+1  X  0 X+1  X  1  X X+1 X+1  1  0  1  X X+1  X  1 X+1  X  X X+1 X+1 X+1  1
 0  0  0  0  0  X  0  X  0  X  0  0  X  X  X  X  X  X  X  0  X  0  0  X  0  X  0  0  X  X  X  X  0  X  0  0  0  0  X  0  0  X  X  X  X  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+41x^38+86x^39+116x^40+154x^41+167x^42+162x^43+151x^44+120x^45+146x^46+162x^47+114x^48+124x^49+99x^50+100x^51+101x^52+72x^53+52x^54+30x^55+25x^56+10x^57+6x^58+2x^59+4x^60+1x^62+2x^63

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 0.346 seconds.