The generator matrix

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

generates a code of length 21 over Z3[X]/(X^2) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+144x^38+102x^39+150x^41+54x^42+90x^44+60x^45+90x^47+24x^48+12x^50+2x^54

The gray image is a linear code over GF(3) with n=63, k=6 and d=38.
This code was found by Heurico 1.16 in 0.0166 seconds.