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  X  X  0  0  X  0  X  X  X  0  1 X^2  1  1  X  X  X  1  0  X  X
 0  X  0  0  0  0  0  0  0  X X^2+X  X  X X^2+X  X X^2  X X^2 X^2 X^2+X  0 X^2 X^2  X  0  X  X  X  X X^2+X X^2+X  X X^2+X X^2  0 X^2+X  X X^2+X  0 X^2 X^2  0 X^2+X
 0  0  X  0  0  0  X X^2+X  X  0  0  0  X  X X^2+X X^2  X  X X^2+X X^2 X^2+X  0  X X^2  X  0 X^2  X  X  X X^2  X X^2  X  0  0 X^2+X X^2+X  0 X^2+X  X X^2  X
 0  0  0  X  0  X  X X^2+X  0  X  X X^2  0 X^2 X^2+X  X X^2+X  0 X^2+X X^2+X  X X^2+X X^2+X X^2 X^2  X X^2+X X^2+X X^2+X X^2  0 X^2+X  0 X^2+X  X X^2 X^2 X^2+X X^2+X X^2+X X^2+X  X  0
 0  0  0  0  X  X  0 X^2+X  X X^2 X^2+X X^2+X  0 X^2+X  X X^2  0  X  X X^2  0 X^2+X X^2+X X^2+X X^2 X^2+X X^2 X^2  X  0  0  0 X^2+X X^2  X X^2  0 X^2  X X^2 X^2+X X^2 X^2+X
 0  0  0  0  0 X^2  0  0  0  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0  0  0 X^2 X^2  0 X^2
 0  0  0  0  0  0 X^2  0 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2  0 X^2  0  0 X^2  0 X^2 X^2 X^2  0  0  0  0 X^2  0  0 X^2  0  0 X^2 X^2 X^2 X^2  0  0 X^2
 0  0  0  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2  0  0  0  0  0  0  0  0  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0  0 X^2 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+56x^33+137x^34+244x^35+356x^36+494x^37+806x^38+914x^39+1180x^40+1466x^41+1641x^42+1790x^43+1589x^44+1542x^45+1246x^46+938x^47+719x^48+470x^49+357x^50+198x^51+118x^52+68x^53+36x^54+12x^55+4x^56+1x^58+1x^76

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 11.4 seconds.