The generator matrix

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

generates a code of length 16 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+156x^26+128x^27+54x^28+336x^29+852x^30+216x^31+2376x^32+1512x^33+216x^34+420x^35+132x^36+114x^38+48x^39

The gray image is a code over GF(3) with n=144, k=8 and d=78.
This code was found by Heurico 1.16 in 0.0583 seconds.