The generator matrix

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

generates a code of length 19 over Z3[X]/(X^2) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+90x^33+222x^36+324x^39+54x^42+18x^45+18x^51+2x^54

The gray image is a linear code over GF(3) with n=57, k=6 and d=33.
This code was found by Heurico 1.16 in 0.0518 seconds.