The generator matrix

 1  0  1  1  1  1  1  1  1 X+3  1
 0  1 2X+4 X+3  8 X+1 X+2 2X X+3  1  0
 0  0  3  6  3  0  6  0  3  6  0

generates a code of length 11 over Z9[X]/(X^2+3,3X) who�s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+110x^18+378x^20+172x^21+486x^22+756x^23+264x^24+18x^27+2x^30

The gray image is a code over GF(3) with n=99, k=7 and d=54.
This code was found by Heurico 1.16 in 0.0021 seconds.