The generator matrix

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

generates a code of length 27 over Z3[X]/(X^2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+232x^42+144x^43+312x^44+1512x^45+732x^46+1032x^47+3164x^48+1662x^49+1962x^50+6636x^51+3066x^52+3696x^53+8628x^54+3816x^55+3426x^56+7858x^57+2712x^58+2196x^59+3856x^60+894x^61+474x^62+844x^63+96x^64+24x^65+46x^66+18x^69+4x^72+2x^75+4x^78

The gray image is a linear code over GF(3) with n=81, k=10 and d=42.
This code was found by Heurico 1.16 in 14.2 seconds.