The generator matrix

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

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+480x^26+616x^27+1896x^28+2718x^29+5858x^30+7272x^31+16992x^32+11426x^33+7308x^34+3570x^35+760x^36+48x^37+54x^38+46x^39+4x^42

The gray image is a code over GF(3) with n=144, k=10 and d=78.
This code was found by Heurico 1.16 in 1.34 seconds.