The generator matrix

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

generates a code of length 21 over Z3[X]/(X^3) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+528x^38+266x^39+486x^40+1668x^41+684x^42+972x^43+1602x^44+258x^45+48x^47+2x^48+42x^50+2x^54+2x^57

The gray image is a linear code over GF(3) with n=189, k=8 and d=114.
This code was found by Heurico 1.16 in 9.91 seconds.