The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 1 1 X X X X 1 1 1
0 3 6 0 3 6 0 3 6 0 3 6 0 3 6 3 6 0 3 6 0 3 6 0 0 3 6
generates a code of length 27 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 54.
Homogenous weight enumerator: w(x)=1x^0+72x^54+6x^60+2x^63
The gray image is a code over GF(3) with n=243, k=4 and d=162.
This code was found by Heurico 1.16 in 0.0038 seconds.