The generator matrix

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

generates a code of length 17 over Z3[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+64x^24+74x^27+54x^28+102x^30+324x^31+144x^33+648x^34+108x^36+432x^37+156x^39+60x^42+6x^45+12x^48+2x^51

The gray image is a linear code over GF(3) with n=51, k=7 and d=24.
This code was found by Heurico 1.16 in 0.0185 seconds.