The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+204x^80+866x^81+1560x^82+2480x^83+2885x^84+3318x^85+3716x^86+3646x^87+3331x^88+3274x^89+2684x^90+2004x^91+1199x^92+746x^93+415x^94+226x^95+69x^96+52x^97+34x^98+8x^99+22x^100+16x^101+7x^102+4x^103+1x^104

The gray image is a code over GF(2) with n=696, k=15 and d=320.
This code was found by Heurico 1.16 in 14.5 seconds.