The generator matrix

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

generates a code of length 43 over Z2[X]/(X^3) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+16x^33+94x^34+106x^35+265x^36+322x^37+639x^38+816x^39+1208x^40+1758x^41+1932x^42+2160x^43+1854x^44+1688x^45+1189x^46+940x^47+701x^48+288x^49+206x^50+70x^51+53x^52+22x^53+25x^54+4x^55+10x^56+2x^57+8x^58+4x^60+3x^62

The gray image is a linear code over GF(2) with n=172, k=14 and d=66.
This code was found by Heurico 1.16 in 7.97 seconds.