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.