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 1 1 1 1 1 1 1 1 1 1 1 X 1 X 1 1 1 1 1 X X 1 1 1 X X 1 1 1 X X 1 1 1 X X X X 1 3 3 0 1 X X X X 1 X X X 1 1 X 3 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 0 3 6 0 3 6 0 3 6 0 3 6 0 3 6 0 3 6 0 3 6 0 3 6 3 0 6 3 6 0 3 6 3 6 0 3 6 3 6 0 3 6 3 6 0 3 6 0 3 6 0 0 3 6 3 3 0 3 6 0 6 3 6 0 0 3 0 0 3 6 3 0
generates a code of length 93 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 187.
Homogenous weight enumerator: w(x)=1x^0+54x^187+14x^189+8x^192+2x^195+2x^198
The gray image is a code over GF(3) with n=837, k=4 and d=561.
This code was found by Heurico 1.16 in 0.35 seconds.