The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  1  1
 0  X  0  0  3  X X+3  X  3 X+3 2X+3 2X+6  0 X+3 2X+3 X+3 X+6
 0  0  X  0 X+3 2X 2X  6 2X X+6  X 2X+6  6 2X+3 X+3  0  X
 0  0  0  X 2X+3 X+6 2X+6 X+3  3 X+3  X  6 2X+3 2X  6 2X+3 2X+6

generates a code of length 17 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+152x^27+246x^28+354x^29+630x^30+366x^31+2442x^32+1408x^33+6444x^34+4482x^35+1586x^36+582x^37+438x^38+330x^39+138x^40+60x^41+20x^42+4x^45

The gray image is a code over GF(3) with n=153, k=9 and d=81.
This code was found by Heurico 1.16 in 0.362 seconds.