The generator matrix

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

generates a code of length 10 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+96x^15+396x^16+216x^18+1188x^19+2916x^20+252x^21+1296x^22+156x^24+36x^25+8x^27

The gray image is a code over GF(3) with n=90, k=8 and d=45.
This code was found by Heurico 1.16 in 0.0181 seconds.