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  2  0  2 12  2  0  2 12  2  0  2 12  2  2  8  0 12  2  2  4  2  8  2  4  2  8  2  4  2  8  2  4  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  2 12  6  0  6 12 10  0  6 12 10  0  6 12  2  8 14  4  2  8 14  4 10  8 14  4  2  8 14  4 10  6  2 10  2  6  2 10  2  6  2 10  2  6 10  2  2  2 14  2  2 14  2  2  2 14  2  2  2 14  2  2  2  0 12  0 12  0 12  0  4  8 12  8  8  4  4  8
 0  0  8  0  0  8  8  8  8  0  0  8  8  8  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  0  0  0  8  8  0  0  8  8  8  8  0  0  8  0  0  8  0  8  8  0  0  8  0  8  8  0  8  0  0  8  0  8  0  0  8  8  0  0  8  8  8  8  0  0  8  0  8
 0  0  0  8  8  8  8  0  8  0  0  8  0  0  8  8  0  0  8  8  8  8  0  0  8  8  0  0  0  0  8  8  0  8  8  0  8  0  0  8  8  0  0  8  0  8  0  8  0  0  8  8  8  0  0  8  8  8  0  0  0  8  8  0  0  8  8  0  8  0  0  8  0  8  8  0  0  8  8

generates a code of length 79 over Z16 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+30x^78+448x^79+30x^80+1x^94+1x^96+1x^126

The gray image is a code over GF(2) with n=632, k=9 and d=312.
This code was found by Heurico 1.16 in 0.704 seconds.