The generator matrix

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

generates a code of length 17 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+274x^30+324x^32+374x^33+648x^35+456x^36+102x^39+4x^42+2x^45+2x^48

The gray image is a code over GF(3) with n=153, k=7 and d=90.
This code was found by Heurico 1.16 in 75.1 seconds.