The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+219x^80+352x^81+936x^82+1336x^83+2266x^84+2332x^85+3594x^86+3584x^87+4242x^88+3276x^89+3454x^90+2396x^91+2047x^92+1032x^93+702x^94+408x^95+272x^96+108x^97+94x^98+20x^99+56x^100+4x^101+16x^102+8x^104+4x^106+7x^108+2x^112

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 20.7 seconds.