The generator matrix

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

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+312x^35+330x^36+858x^38+450x^39+1134x^41+576x^42+1290x^44+558x^45+690x^47+252x^48+90x^50+18x^51+2x^54

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 0.438 seconds.