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

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+48x^37+144x^38+186x^39+265x^40+368x^41+430x^42+620x^43+729x^44+822x^45+952x^46+876x^47+754x^48+636x^49+469x^50+288x^51+196x^52+152x^53+104x^54+74x^55+35x^56+20x^57+12x^58+4x^59+3x^60+2x^61+1x^64+1x^66

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 3.43 seconds.