The generator matrix

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

generates a code of length 21 over Z3[X]/(X^2) who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+18x^39+84x^40+44x^42+48x^43+8x^45+30x^46+6x^48+4x^51

The gray image is a linear code over GF(3) with n=63, k=5 and d=39.
This code was found by Heurico 1.16 in 0.00149 seconds.