The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+672x^80+1778x^81+3286x^82+4332x^83+5812x^84+6450x^85+7522x^86+6948x^87+7372x^88+6256x^89+5588x^90+3612x^91+2686x^92+1580x^93+774x^94+436x^95+271x^96+94x^97+42x^98+18x^100+2x^101+4x^102

The gray image is a code over GF(2) with n=696, k=16 and d=320.
This code was found by Heurico 1.16 in 49.2 seconds.