The generator matrix

 1  0  0  0  1  1  1  1  2  8  1  8  1  4  1  1  1 14  1  1  1  1  6  1  8 14 12  1 14  1  1  8  1  1  1  6  1 12  1  1 14  4  2  6  8  2  1  1  1 12  1  1  2  4 10  6  1  1 14  1  1  4 14  1  1  1  8  0  1  0  1  1  1  1  2  0  1  0  0  1 12  0 14 10 14  4  1  1
 0  1  0  0  0 13  8  1  1  1  5  4  2  1 13  0  3  0 11 12  7 15  1 12 10  1 10  8  1  8  0  1  1 10  7  4  6  4  7 10  1  1  1 14  1  1  0  7  7 12 11 10  6  1  4  1 15  6  1  5 14  1  1  8  5  6  1  1 10  4 13  6  4  2  1  1  5  4  1 14  1  1 10  8  2 12 14  4
 0  0  1  0  4 12 13  9  3 13  1  1  3 14  2 10  9  1  4  0 11  0 11  5  8  6  1  7  0  8 11  7 15  6 10  2  6  1 14 13 11  2 10  1  1  9  6  8 15 14  1  6  1 15 14 10 14  9 12 11 10  8 13  5  2  4  3  6 12  8 14 15 11  1  9 10  4  1  5  2  1 12  1  1  1  1  1 13
 0  0  0  1  7 11  3 15 10  3  6 11  8  3  0 14  2 12  5 13  5  4 11  9  1  2  3  8  9  6  1 14 11 11  7  1  0  6  2  1  4  5  4 11  1  0 11  2  6  1  3  6  9  9  1  7 13 15  6 13  5 11 10  2 10 10  7 12  8  1  4  6 11  4  5 11  2 14  2 10  7 10  2  7  8  0  9  2
 0  0  0  0  8  8  8  8  0  0  8  0  8  0  8  8  8  0  8  8  8  8  0  8  0  0  0  8  0  8  8  0  8  8  8  0  8  0  8  8  8  8  8  8  8  8  0  0  0  8  0  0  8  8  8  8  0  0  8  0  0  8  8  0  0  0  0  8  0  8  0  8  0  0  0  8  8  8  8  8  8  0  8  8  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+514x^80+2010x^81+3353x^82+6216x^83+7955x^84+10770x^85+12856x^86+14500x^87+15103x^88+15168x^89+12649x^90+10744x^91+7632x^92+5196x^93+3015x^94+1988x^95+709x^96+358x^97+154x^98+84x^99+53x^100+34x^101+5x^102+1x^104+4x^107

The gray image is a code over GF(2) with n=704, k=17 and d=320.
This code was found by Heurico 1.16 in 209 seconds.