The generator matrix

 1  0  0  1  1  1  X  1  1 X^2+X  1 X^2  1  1 X^2+X  1  1 X^2  1  X  1  1 X^2+X  1  1  1  1  X  1  1  1  1  1 X^2+X  1 X^2  X X^2  X  1  0  1  1
 0  1  0  X  1 X^2+X+1  1 X^2+X  0 X^2  1  1 X^2+X X^2+1  1 X+1  1  X  0  1  X  1  X X^2+X+1 X^2 X^2+X X+1 X^2 X^2  X X^2+X+1  X X^2+X+1  X X^2+X+1  1  1  1  1 X+1 X^2+X  X  X
 0  0  1  1 X^2+X+1 X^2+X  1 X+1 X^2+X  1  1  1  0  0  0 X+1  X  1 X+1  X  X X^2+1  1 X^2+1  1  0  X  1 X^2+X+1  X  1 X^2+X X^2+X  1 X^2+1 X^2+1 X^2+1 X^2+X+1 X^2+X+1 X+1  1 X^2+X  1
 0  0  0 X^2  0  0  0  0 X^2 X^2  0  0 X^2 X^2  0  0 X^2 X^2  0 X^2  0  0  0  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2  0
 0  0  0  0 X^2  0  0  0  0  0 X^2  0  0  0  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0  0  0 X^2 X^2  0 X^2  0  0  0
 0  0  0  0  0 X^2  0  0  0  0 X^2 X^2 X^2  0 X^2 X^2  0  0  0 X^2 X^2  0  0  0 X^2 X^2 X^2  0  0 X^2 X^2  0  0 X^2 X^2  0  0 X^2 X^2  0  0 X^2  0
 0  0  0  0  0  0 X^2  0  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2  0 X^2  0 X^2  0  0 X^2  0 X^2  0 X^2 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+112x^36+156x^37+434x^38+480x^39+816x^40+712x^41+964x^42+890x^43+1033x^44+788x^45+657x^46+382x^47+438x^48+128x^49+109x^50+38x^51+27x^52+8x^53+9x^54+2x^55+5x^56+3x^58

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 1.72 seconds.