The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 1 1 X X 1 X 1 1 X X X X 1 1 1
0 3 6 0 3 6 0 3 6 0 3 6 0 3 6 0 3 6 0 3 6 3 6 0 3 6 3 6 0 0 3 6 0 3 6 0 0 3 6
generates a code of length 39 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 78.
Homogenous weight enumerator: w(x)=1x^0+72x^78+6x^87+2x^90
The gray image is a code over GF(3) with n=351, k=4 and d=234.
This code was found by Heurico 1.16 in 0.0128 seconds.