The generator matrix

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

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+134x^24+60x^25+186x^26+436x^27+276x^28+852x^29+1036x^30+996x^31+2562x^32+1832x^33+1560x^34+3324x^35+1958x^36+1236x^37+1740x^38+976x^39+246x^40+84x^41+158x^42+26x^45+4x^48

The gray image is a linear code over GF(3) with n=51, k=9 and d=24.
This code was found by Heurico 1.16 in 0.774 seconds.