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 X 1 X X 1 X X X 1 1 1 X 1 1
0 3 0 3 0 3 6 6 6 0 0 3 3 0 3 6 6 6 0 0 3 3 0 3 3 3 0 6 6 6 6 6 0 3 0 6 0
0 0 3 6 6 3 0 3 6 0 3 6 3 6 0 0 3 6 0 3 6 0 3 6 3 3 6 0 0 3 6 6 6 0 0 3 0
generates a code of length 37 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 72.
Homogenous weight enumerator: w(x)=1x^0+8x^72+210x^74+16x^75+6x^83+2x^84
The gray image is a code over GF(3) with n=333, k=5 and d=216.
This code was found by Heurico 1.16 in 0.0106 seconds.