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 1 1 1 X X 1 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 0 3 6 3 6 0 3 6 3 6 0 3 0 6 0 3 3 6 3 0
generates a code of length 38 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 76.
Homogenous weight enumerator: w(x)=1x^0+66x^76+2x^78+6x^79+4x^84+2x^87
The gray image is a code over GF(3) with n=342, k=4 and d=228.
This code was found by Heurico 1.16 in 0.0117 seconds.