The generator matrix

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

generates a code of length 43 over Z2[X]/(X^3) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+223x^36+68x^37+500x^38+448x^39+805x^40+608x^41+1090x^42+788x^43+1056x^44+708x^45+754x^46+360x^47+401x^48+88x^49+198x^50+4x^51+65x^52+18x^54+9x^56

The gray image is a linear code over GF(2) with n=172, k=13 and d=72.
This code was found by Heurico 1.16 in 3.67 seconds.