The generator matrix

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

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+136x^27+792x^28+1260x^29+1954x^30+2544x^31+5100x^32+3564x^33+2796x^34+1248x^35+250x^36+24x^37+6x^38+8x^39

The gray image is a code over GF(3) with n=144, k=9 and d=81.
This code was found by Heurico 1.16 in 0.116 seconds.