The generator matrix

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

generates a code of length 10 over Z3[X]/(X^2) who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+24x^19+36x^20+4x^21+12x^22+4x^24

The gray image is a linear code over GF(3) with n=30, k=4 and d=19.
As d=19 is an upper bound for linear (30,4,3)-codes, this code is optimal over Z3[X]/(X^2) for dimension 4.
This code was found by Heurico 1.16 in 0.000215 seconds.