The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X 0 6 X X 3
0 X 2X 6 X+3 2X+6 3 X+6 2X+3 0 X+3 6 X+6 2X 2X+6 3 X 2X+3 X+3 X+6 2X 2X+6 X X X 2X+3 X
generates a code of length 27 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 54.
Homogenous weight enumerator: w(x)=1x^0+236x^54+6x^63
The gray image is a code over GF(3) with n=243, k=5 and d=162.
This code was found by Heurico 1.16 in 0.00353 seconds.