The generator matrix

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

generates a code of length 19 over Z3[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+66x^24+188x^27+606x^30+2134x^33+5216x^36+6720x^39+3952x^42+602x^45+126x^48+58x^51+14x^54

The gray image is a linear code over GF(3) with n=57, k=9 and d=24.
This code was found by Heurico 1.16 in 0.807 seconds.