The generator matrix

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

generates a code of length 17 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+132x^28+180x^29+204x^30+180x^31+1278x^32+746x^33+288x^34+2160x^35+734x^36+300x^37+198x^38+6x^39+72x^40+72x^41+4x^42+6x^45

The gray image is a code over GF(3) with n=153, k=8 and d=84.
This code was found by Heurico 1.16 in 4.22 seconds.