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 X X 1 1 1 X X 1 1 1 1 1 X X 1 1 1 1 X X X 1 X 3 3 0 X X X 1 1 X 3 X 3 0 3 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 6 0 3 6 0 3 6 0 3 6 3 6 0 3 6 3 6 0 3 6 0 3 3 6 6 0 3 6 3 6 0 0 0 3 6 3 3 6 0 3 6 0 3 3 6 3 0 0 0
generates a code of length 78 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 157.
Homogenous weight enumerator: w(x)=1x^0+66x^157+2x^159+6x^160+4x^165+2x^168
The gray image is a code over GF(3) with n=702, k=4 and d=471.
This code was found by Heurico 1.16 in 0.177 seconds.