The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+128x^80+414x^81+836x^82+1400x^83+2262x^84+2852x^85+3240x^86+3712x^87+3741x^88+3676x^89+3227x^90+2504x^91+1922x^92+1210x^93+639x^94+424x^95+213x^96+98x^97+102x^98+72x^99+49x^100+22x^101+18x^102+3x^104+1x^106+1x^108+1x^118

The gray image is a code over GF(2) with n=704, k=15 and d=320.
This code was found by Heurico 1.16 in 18.8 seconds.