The generator matrix

 1  0  1  1  1  4  1  1  4  1  8  1 14  1  1 14  1  1  2  1  1 14  1  1  4  1  1  1  6  1  1  6  6  1 14  1  1  1  1 12  4  1  1  1  1  0  2  1  1  1  0  1  0  1  1  1  1  4  1  1 14  1  2 12  1  1  1  1  4 10  1  1 12  6  6  1  1 10  1  1  0  1  1  1 14  1  1
 0  1  1  0  3  1 13  8  1  0  1  3  1  7 14  1  2 13  1 10 15  1  6 13  1  2 15 10  1 13  4  1  1  5  1  0 12  3  7  1  1 14  8  3  4  1  1  7  2  2  1  9  1  8 10 14 13  1  4  7  1  9  1  1  0 13 11  6  1  1  4 13  1  1  1  5  2  1  3  8  1  1 14 10  1 12  0
 0  0  2  0  0  8  0  2 10 10  2 14  8  6 14 12 10 14  2  0  4 14  4  8 12  0 14  6  6  8  4 12 14 10  0  4 10  2 12 10  0 12  0  2 10 14 14  8 12 12 12  0 12  6  6 10  6 10  2 10  0  2 14 14 12 12 12  8  6  8  6  4  6  8  6  4 10 10  2  6  0 10  6  8  0  6  8
 0  0  0  2  8 10 10  6 14  0 12 14  2  4  2  8  8 10  8  2  2  6  0  4  4 12  0  0 12 14 10 10  2 10  0  8  2 10  4  2  4  2  6  4  4 14  0  4 12 14  6  0  2  8 10  6  4  8  8 14  6 12  6  8 12 10  2 10  6  8  6 12 10 12  8  2  2 12  6 12  6 10 14  4  2  4  8

generates a code of length 87 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+62x^80+354x^81+758x^82+1196x^83+1537x^84+1738x^85+1822x^86+1866x^87+1831x^88+1588x^89+1400x^90+1008x^91+570x^92+298x^93+96x^94+66x^95+72x^96+46x^97+34x^98+24x^99+4x^100+8x^101+2x^102+2x^112+1x^124

The gray image is a code over GF(2) with n=696, k=14 and d=320.
This code was found by Heurico 1.16 in 4.67 seconds.