The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  X  1 X^2+X  1  1  1  1  X  1 X^2+X  1 X^2  0  1  1  1  1  1 X^2+X  1  1  1 X^2+X  1  1 X^2 X^2+X  0  0  1  1  0  1
 0  1  1 X^2+X X^2+X+1  1  0 X+1  1  X  1 X^2+1  1  0 X^2 X^2+1 X^2+1  1  X  1 X^2+X+1  1  1 X^2+X X^2 X^2+X X^2+X X^2+X  1  1  0 X^2+1  1 X^2+X X^2+X  1  1  0  1 X^2+1 X^2+X  X X^2
 0  0  X  0 X^2+X  0 X^2+X X^2 X^2+X X^2+X  X X^2 X^2  0  X  0  X X^2+X  X X^2+X  X X^2+X  0 X^2  X  0 X^2+X X^2 X^2 X^2+X  0 X^2 X^2 X^2 X^2  X X^2  X  X  0 X^2+X X^2  X
 0  0  0 X^2  0  0  0 X^2  0  0 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2  0  0  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0
 0  0  0  0 X^2  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2  0  0  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0  0 X^2  0  0 X^2  0 X^2  0
 0  0  0  0  0 X^2  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0  0  0  0  0 X^2 X^2  0
 0  0  0  0  0  0 X^2  0  0 X^2  0  0  0  0 X^2  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0  0 X^2  0  0  0 X^2  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+48x^36+134x^37+126x^38+380x^39+159x^40+632x^41+163x^42+798x^43+214x^44+660x^45+182x^46+326x^47+77x^48+104x^49+26x^50+26x^51+10x^52+6x^53+10x^54+6x^55+3x^56+3x^58+2x^62

The gray image is a linear code over GF(2) with n=172, k=12 and d=72.
This code was found by Heurico 1.16 in 0.538 seconds.