The generator matrix

 1  0  1  1  1  1  1 X+6  1  1  1 2X  1  1  1  1
 0  1 2X+7  8 X+6 X+1 X+5  1 2X  7 2X+8  1  3 X+3 2X+4 2X+3

generates a code of length 16 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+152x^30+144x^31+54x^32+300x^33+72x^34+2x^36+4x^39

The gray image is a code over GF(3) with n=144, k=6 and d=90.
This code was found by Heurico 1.16 in 0.000841 seconds.