The generator matrix

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

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+42x^33+96x^34+88x^36+192x^37+40x^39+144x^40+50x^42+48x^43+16x^45+6x^46+2x^48+4x^51

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 0.00393 seconds.