The generator matrix

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

generates a code of length 28 over Z3[X]/(X^2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+70x^42+18x^43+6x^44+232x^45+84x^46+72x^47+602x^48+252x^49+360x^50+1402x^51+738x^52+960x^53+2448x^54+1290x^55+1440x^56+3008x^57+1152x^58+1152x^59+2094x^60+648x^61+384x^62+784x^63+192x^64+164x^66+104x^69+18x^72+6x^75+2x^78

The gray image is a linear code over GF(3) with n=84, k=9 and d=42.
This code was found by Heurico 1.16 in 2.01 seconds.