The generator matrix

 1  0  0  0  1  1  1 2X  0  1  1  1  1 2X  1  1  0
 0  1  0  0  1  0  1  1  X 2X  X  1 X+1  1 X+2  X  1
 0  0  1  0  2  1  1 2X+1  1 2X 2X+2  2 X+1 X+1 2X X+2  2
 0  0  0  1  2  2  X  2 2X+2 2X+1 2X+2  1  2  0 X+2 2X+1  1
 0  0  0  0 2X  0 2X  0  0  X  X  0  X 2X  0 2X 2X
 0  0  0  0  0 2X  X 2X  X  X  X  0 2X  0  0  X 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+248x^24+294x^25+606x^26+1268x^27+1296x^28+1668x^29+3816x^30+3780x^31+5034x^32+7638x^33+6108x^34+6252x^35+7380x^36+4806x^37+3516x^38+3414x^39+1188x^40+420x^41+264x^42+24x^43+18x^45+6x^48+4x^51

The gray image is a linear code over GF(3) with n=51, k=10 and d=24.
This code was found by Heurico 1.16 in 7.49 seconds.