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

generates a code of length 46 over Z2[X]/(X^3) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+56x^37+137x^38+198x^39+214x^40+268x^41+352x^42+562x^43+793x^44+970x^45+1114x^46+968x^47+813x^48+576x^49+336x^50+264x^51+188x^52+156x^53+101x^54+50x^55+36x^56+20x^57+8x^58+6x^59+2x^60+2x^61+1x^76

The gray image is a linear code over GF(2) with n=184, k=13 and d=74.
This code was found by Heurico 1.16 in 3.5 seconds.