The generator matrix

 1  1  1  1  1  1  1  1  1  X  1  X  1  1  1  1
 0  3  6  0  3  6  0  3  6  3  0  6  3  6  0  3

generates a code of length 16 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 31.

Homogenous weight enumerator: w(x)=1x^0+12x^31+54x^32+4x^33+6x^34+2x^36+2x^42

The gray image is a code over GF(3) with n=144, k=4 and d=93.
This code was found by Heurico 1.16 in 0.000647 seconds.