The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 1 X 1 1 1 1 1 X X 1 1 1 X X X X 3 3 0 X X X 1 3 X 3 0 3 X 1
0 3 6 0 3 6 0 3 6 0 3 6 0 3 6 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 0 6 3 6 0 3 6 3 6 0 3 6 0 3 6 0 3 6 3 3 6 0 0 3 0 6 3 0 3 0
generates a code of length 72 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 145.
Homogenous weight enumerator: w(x)=1x^0+66x^145+2x^147+6x^148+2x^150+4x^153
The gray image is a code over GF(3) with n=648, k=4 and d=435.
This code was found by Heurico 1.16 in 0.13 seconds.