The generator matrix

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

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+58x^15+174x^16+156x^17+338x^18+594x^19+396x^20+752x^21+14400x^22+684x^23+894x^24+798x^25+222x^26+138x^27+72x^28+4x^30+2x^33

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 0.164 seconds.