The generator matrix

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

generates a code of length 11 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+96x^15+162x^16+846x^18+972x^19+2664x^21+10692x^22+2694x^24+1296x^25+242x^27+18x^30

The gray image is a code over GF(3) with n=99, k=9 and d=45.
This code was found by Heurico 1.16 in 0.154 seconds.