The generator matrix
1 1 1 1 1 1
0 X 2X 6 X+3 2X+6
generates a code of length 6 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 11.
Homogenous weight enumerator: w(x)=1x^0+36x^11+186x^12+18x^14+2x^18
The gray image is a code over GF(3) with n=54, k=5 and d=33.
This code was found by Heurico 1.16 in 0.000113 seconds.