The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 1 1 X X X 1 X 1 1 1
0 3 6 0 3 6 0 3 6 0 3 6 0 3 6 0 3 3 6 6 0 3 3 0 6 6 0 0 3 6
generates a code of length 30 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 60.
Homogenous weight enumerator: w(x)=1x^0+72x^60+6x^66+2x^72
The gray image is a code over GF(3) with n=270, k=4 and d=180.
This code was found by Heurico 1.16 in 0.00494 seconds.