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

generates a code of length 88 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+104x^80+288x^81+730x^82+756x^83+1050x^84+1298x^85+1550x^86+1910x^87+1651x^88+1696x^89+1352x^90+1278x^91+932x^92+580x^93+429x^94+226x^95+257x^96+96x^97+81x^98+54x^99+34x^100+10x^101+17x^102+3x^104+1x^122

The gray image is a code over GF(2) with n=704, k=14 and d=320.
This code was found by Heurico 1.16 in 7.49 seconds.