The generator matrix
1 0 1 1 1 1 1 X+6 6 X
0 1 1 8 2X+1 6 8 1 1 1
0 0 2X 0 X X+6 2X+3 6 X+6 X+3
0 0 0 3 0 6 0 6 6 6
generates a code of length 10 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 15.
Homogenous weight enumerator: w(x)=1x^0+96x^15+612x^16+2808x^18+2052x^19+6318x^20+5436x^21+2160x^22+156x^24+36x^25+8x^27
The gray image is a code over GF(3) with n=90, k=9 and d=45.
This code was found by Heurico 1.16 in 0.0904 seconds.