The generator matrix

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

generates a code of length 17 over Z3[X]/(X^2) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+120x^25+138x^26+438x^27+702x^28+564x^29+1186x^30+1752x^31+1098x^32+1718x^33+3264x^34+1500x^35+2260x^36+2304x^37+966x^38+898x^39+606x^40+108x^41+44x^42+10x^45+4x^48+2x^51

The gray image is a linear code over GF(3) with n=51, k=9 and d=25.
This code was found by Heurico 1.16 in 1.73 seconds.