The generator matrix

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

generates a code of length 43 over Z2[X]/(X^3) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+104x^35+495x^36+966x^37+1577x^38+1764x^39+2762x^40+3034x^41+3707x^42+3606x^43+4088x^44+3088x^45+2907x^46+1856x^47+1373x^48+748x^49+405x^50+152x^51+77x^52+34x^53+12x^54+4x^55+4x^56+2x^57+2x^59

The gray image is a linear code over GF(2) with n=172, k=15 and d=70.
This code was found by Heurico 1.13 in 7.97 seconds.