The generator matrix
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 3 3 0 1
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 3 0
generates a code of length 34 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 68.
Homogenous weight enumerator: w(x)=1x^0+60x^68+2x^69+12x^71+4x^72+2x^75
The gray image is a code over GF(3) with n=306, k=4 and d=204.
This code was found by Heurico 1.16 in 0.00777 seconds.