The generator matrix

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

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+140x^38+112x^39+279x^40+200x^41+258x^42+176x^43+247x^44+160x^45+205x^46+96x^47+90x^48+24x^49+33x^50+13x^52+3x^54+10x^56+1x^58

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 0.166 seconds.