The generator matrix

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

generates a code of length 13 over Z9[X]/(X^2+3,3X) 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 0.00434 seconds.