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

generates a code of length 77 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+48x^76+160x^77+36x^78+5x^80+4x^86+1x^88+1x^104

The gray image is a code over GF(2) with n=616, k=8 and d=304.
This code was found by Heurico 1.16 in 0.417 seconds.