The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  X  1  1  0  1  1  1 X^2  1  X X^2+X  1  1  1  1  X  X X^2  1  0  1  1  1  1  1  1  1  X  0  X  1  1  1  1  1  1
 0  1  1  0  1  1  X X^2+X+1  1 X^2+X  1 X^2+X+1  0  1 X+1 X^2+1 X^2  1  0  1  1 X+1 X^2  1  X  1  1  1 X^2+X+1  1  X X^2+X+1 X+1 X^2+1 X^2+X+1 X^2+X X^2+1  1  1  1 X+1  0 X^2+X X^2+X+1  1 X+1
 0  0  X  0  0  0  0  0  0 X^2 X^2  X  X  X  0 X^2+X  X X^2+X X^2+X X^2+X X^2 X^2+X  0 X^2 X^2+X X^2+X X^2 X^2+X  0 X^2 X^2 X^2+X  X X^2 X^2+X X^2+X X^2  0  X X^2+X X^2  X X^2+X X^2+X X^2  0
 0  0  0  X  0  0  X X^2  X X^2 X^2+X  0  0  0 X^2+X X^2+X X^2+X X^2+X  X X^2  X  0 X^2  X X^2 X^2+X X^2  0 X^2 X^2+X X^2+X  X X^2 X^2+X X^2 X^2 X^2+X X^2+X  X  X X^2 X^2+X  0 X^2  X  X
 0  0  0  0  X  0  0  X X^2 X^2  0 X^2 X^2+X  X X^2+X X^2 X^2+X  X  0 X^2 X^2+X X^2+X X^2+X X^2  0 X^2  X  0 X^2 X^2+X  X  X X^2+X  0  X  0  X  X  X X^2  0  X  0 X^2  0  X
 0  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0  0  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2

generates a code of length 46 over Z2[X]/(X^3) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+61x^38+124x^39+140x^40+376x^41+533x^42+680x^43+855x^44+900x^45+971x^46+888x^47+834x^48+636x^49+483x^50+328x^51+126x^52+124x^53+55x^54+28x^55+24x^56+12x^57+7x^58+3x^60+1x^62+1x^64+1x^66

The gray image is a linear code over GF(2) with n=184, k=13 and d=76.
This code was found by Heurico 1.16 in 2.69 seconds.