The generator matrix

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

generates a code of length 10 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+60x^12+108x^14+144x^15+810x^16+648x^17+60x^18+3240x^19+10044x^20+240x^21+3240x^22+864x^23+180x^24+20x^27+24x^30

The gray image is a code over GF(3) with n=90, k=9 and d=36.
This code was found by Heurico 1.16 in 0.085 seconds.