The generator matrix

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

generates a code of length 12 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+186x^22+48x^23+92x^24+372x^25+24x^26+4x^27+2x^30

The gray image is a code over GF(3) with n=108, k=6 and d=66.
This code was found by Heurico 1.16 in 0.000501 seconds.