The generator matrix

 1  0  1  1  1  0  1 X^2+X  1  1 X^2+X  1  1 X^2  1  1  1 X^2  X  0  1  1  1  X X^2  1  1  1  1  X  X  1  1  1 X^2  1  1  1  1 X^2 X^2  1  1
 0  1  1  0 X^2+X+1  1  X  1 X^2+X+1  X  1  1 X^2  1 X+1  0 X^2+X+1  1  1  1 X^2+1 X^2+X  0  1  1 X^2+1 X^2+1  0  X  1  1 X^2 X^2 X+1  1  X X+1  X X^2+X+1  1  1 X^2+X X^2+1
 0  0  X  0 X^2+X  X  0  X  0  X X^2  0  X  0 X^2 X^2+X  X  X X^2+X X^2 X^2 X^2+X X^2 X^2  X  X X^2 X^2 X^2  0  0  X X^2  0 X^2+X X^2+X  0 X^2+X X^2 X^2+X  X  0  X
 0  0  0  X  0  X  X  X X^2+X  0 X^2 X^2+X X^2  X X^2  X X^2+X X^2 X^2  X  0 X^2+X  X  X X^2+X  X X^2+X X^2+X  0  X X^2  X  0 X^2 X^2+X  0  0 X^2  X X^2 X^2 X^2 X^2+X
 0  0  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0  0  0  0  0  0 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2  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 38.

Homogenous weight enumerator: w(x)=1x^0+135x^38+112x^39+256x^40+192x^41+299x^42+160x^43+245x^44+192x^45+201x^46+112x^47+89x^48+25x^50+10x^52+12x^54+6x^56+1x^60

The gray image is a linear code over GF(2) with n=172, k=11 and d=76.
This code was found by Heurico 1.16 in 0.17 seconds.