The generator matrix

 1  1  1  1  1  1  1  1  1  1  X  1  1
 0  X  0  3 2X X+6  X 2X+6 2X  3  X 2X+6  3
 0  0  X 2X+6  3 2X+6  X X+6 2X+3  3 X+3  0 2X+3

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+90x^22+54x^23+282x^24+90x^25+1026x^26+402x^27+90x^28+54x^29+42x^30+54x^31+2x^36

The gray image is a code over GF(3) with n=117, k=7 and d=66.
This code was found by Heurico 1.16 in 0.00428 seconds.