The generator matrix

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

generates a code of length 21 over Z3[X]/(X^2) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+300x^35+352x^36+870x^38+402x^39+1152x^41+600x^42+1284x^44+556x^45+660x^47+264x^48+108x^50+12x^51

The gray image is a linear code over GF(3) with n=63, k=8 and d=35.
This code was found by Heurico 1.16 in 0.351 seconds.