The generator matrix

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

generates a code of length 11 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+54x^16+354x^18+324x^19+840x^21+3564x^22+900x^24+432x^25+86x^27+6x^30

The gray image is a code over GF(3) with n=99, k=8 and d=48.
This code was found by Heurico 1.16 in 0.0222 seconds.