The generator matrix

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

generates a code of length 10 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+30x^13+72x^15+168x^16+708x^18+612x^19+2916x^20+1296x^21+582x^22+90x^24+66x^25+20x^27

The gray image is a code over GF(3) with n=90, k=8 and d=39.
This code was found by Heurico 1.16 in 0.183 seconds.