The generator matrix

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

generates a code of length 13 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+378x^22+162x^23+660x^24+1242x^25+1458x^26+1158x^27+1242x^28+162x^29+42x^30+54x^31+2x^36

The gray image is a code over GF(3) with n=117, k=8 and d=66.
This code was found by Heurico 1.16 in 0.0222 seconds.