The generator matrix

 1  0  1  1  1  1  1 X+3  1  1  1  1  1
 0  1 2X+4 X+3  8 X+1 X+2  1 2X X+3 2X+4  4  0
 0  0  3  6  3  0  6  6  0  3  6  0  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+72x^22+420x^24+294x^25+324x^26+776x^27+276x^28+12x^30+6x^31+6x^33

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 0.00272 seconds.