The generator matrix

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

generates a code of length 16 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+168x^26+110x^27+486x^28+846x^29+3138x^30+1944x^31+3744x^32+6048x^33+1944x^34+966x^35+150x^36+108x^38+30x^39

The gray image is a code over GF(3) with n=144, k=9 and d=78.
This code was found by Heurico 1.16 in 0.206 seconds.