The generator matrix

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

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+54x^15+18x^16+118x^18+72x^19+1620x^20+146x^21+72x^22+78x^24+4x^27+4x^30

The gray image is a code over GF(3) with n=90, k=7 and d=45.
This code was found by Heurico 1.16 in 0.00293 seconds.