The generator matrix

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

generates a code of length 15 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+474x^26+238x^27+270x^28+1620x^29+1558x^30+540x^31+1548x^32+210x^33+84x^35+16x^36+2x^39

The gray image is a code over GF(3) with n=135, k=8 and d=78.
This code was found by Heurico 1.16 in 0.0412 seconds.