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 X 1 X 1 1 1 X X 1 1 1 X X 1 X 1 3 3 0 X X X X 1 1 1 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 3 6 6 0 3 6 3 6 0 3 6 3 6 0 0 3 3 6 3 0 3 6 0 6 0 3 0
generates a code of length 56 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 112.
Homogenous weight enumerator: w(x)=1x^0+54x^112+14x^114+8x^117+2x^120+2x^126
The gray image is a code over GF(3) with n=504, k=4 and d=336.
This code was found by Heurico 1.16 in 0.0494 seconds.