The generator matrix

 1  0  1  1  1  1  1  1  3  1  1 X+3  1  1  X  1
 0  1  1  8  3  2 X+3 2X+1  1 X+8 2X  1 2X+2  8  6  X
 0  0 2X  6 X+6 X+3 2X+3 X+6 X+6  X 2X+6 2X X+3 2X X+6 X+6

generates a code of length 16 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+32x^27+270x^28+498x^29+614x^30+1008x^31+1458x^32+1164x^33+954x^34+450x^35+36x^36+36x^37+24x^38+16x^39

The gray image is a code over GF(3) with n=144, k=8 and d=81.
This code was found by Heurico 1.16 in 0.0172 seconds.