The generator matrix
1 1 1 1 1 1
0 6 0 0 6 0
0 0 6 0 3 0
0 0 0 6 3 0
generates a code of length 6 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 6.
Homogenous weight enumerator: w(x)=1x^0+12x^6+16x^9+666x^12+24x^15+10x^18
The gray image is a code over GF(3) with n=54, k=6 and d=18.
This code was found by Heurico 1.16 in 0.000155 seconds.