The generator matrix
1 0 1 1 1 1 1 0 1 1
0 1 2X+4 8 X+3 X+1 X+2 1 0 2X+4
0 0 3 0 0 0 3 0 3 6
0 0 0 6 0 0 3 6 0 3
0 0 0 0 3 0 6 6 3 3
0 0 0 0 0 6 3 6 6 0
generates a code of length 10 over Z9[X]/(X^2+3,3X) 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 0.362 seconds.