The generator matrix

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

generates a code of length 19 over Z3[X]/(X^2) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+84x^32+136x^33+144x^34+288x^35+220x^36+108x^37+252x^38+166x^39+162x^40+240x^41+156x^42+72x^43+108x^44+46x^45+2x^48+2x^51

The gray image is a linear code over GF(3) with n=57, k=7 and d=32.
This code was found by Heurico 1.13 in 0.00805 seconds.