The generator matrix

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

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+1782x^16+648x^17+5892x^18+7128x^19+23166x^20+11904x^21+7128x^22+864x^23+180x^24+20x^27+24x^30

The gray image is a code over GF(3) with n=90, k=10 and d=36.
This code was found by Heurico 1.16 in 0.368 seconds.