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 X 1 X 1 1 X 3 3 X 1 X 1 1 1 X X 1 1 1 1 X 3 X X 0 X X X 1 X 3 3 0 X
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 3 6 6 0 0 3 3 3 3 6 6 0 3 3 6 6 0 3 6 3 6 0 6 3 0 3 6 0 0 0 6 3 0
generates a code of length 68 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 137.
Homogenous weight enumerator: w(x)=1x^0+60x^137+4x^138+12x^140+4x^141
The gray image is a code over GF(3) with n=612, k=4 and d=411.
This code was found by Heurico 1.16 in 0.729 seconds.