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

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

Homogenous weight enumerator: w(x)=1x^0+4x^78+104x^79+6x^80+8x^83+3x^86+1x^88+1x^94

The gray image is a code over GF(2) with n=632, k=7 and d=312.
This code was found by Heurico 1.16 in 0.254 seconds.