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

generates a code of length 46 over Z2[X]/(X^3) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+172x^36+4x^37+442x^38+36x^39+996x^40+232x^41+1222x^42+680x^43+2088x^44+1104x^45+2368x^46+1104x^47+2155x^48+664x^49+1448x^50+216x^51+789x^52+44x^53+374x^54+12x^55+174x^56+34x^58+22x^60+2x^64+1x^68

The gray image is a linear code over GF(2) with n=184, k=14 and d=72.
This code was found by Heurico 1.16 in 13.5 seconds.