The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X X 1 1 1 X X X 1 1 1 1
0 3 0 3 0 3 6 6 6 0 0 3 3 0 3 6 6 6 0 0 3 3 3 0 3 6 0 6 6 6 3 6 0 3
0 0 3 6 6 3 0 3 6 0 3 6 3 6 0 0 3 6 0 3 6 3 0 6 6 0 6 6 0 3 3 3 3 0
generates a code of length 34 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 67.
Homogenous weight enumerator: w(x)=1x^0+48x^67+162x^68+16x^69+8x^72+6x^76+2x^78
The gray image is a code over GF(3) with n=306, k=5 and d=201.
This code was found by Heurico 1.16 in 0.00785 seconds.