The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  1  1  2  8  2  8  2  2  1  2  2  2  1  2 12  2  1  1  2 12  1  2  2  1  2  1  1  1  1 12  1  8  2  4  1  4  0  1  8  1  1  1  1
 0  2  0  0  0  0  0  0  0 10  6 10 14 10  2  2  8  4 12  8  6  6 10  2  4  6  4  2 10 12 12  4  0 14  0 10 14  2  0  2 12  6 14  2  6  6  8  2  2  8  2  4  8  4  0  4  8  6  2 12 14  8  0  4 14 10  0  0 14  6  0  4  6  2  4  8  6  2  8  0  2 12  2 10 14  4  0
 0  0  2  0  0  8 10  6  6  2  6  0  2  0  8 14 10  0  8  2 14 12  4  8  2  8  0  6  2 10 12 12  6  6  8 12  6  6  4 10  0  2 12  8  0 12 10  4  2  2 14  4  2 12 14  2  6  4 12 14 14  2  0  8  2  2 14  0 12  8  6  6  0 12  4  2 12  0  4  2  0 14  2  4  0 10 12
 0  0  0  2  0 10 10 10  8  2 14  8  4 10 10  8 14 10  8 12  2  0 14  0 14  6  2  8  2 12  8 12  4  4  6  4  0  4  4 14 10 14  2 14 14  0  4 12  4  6 14 14 10  4  6  0 10  8  2  0  0  2 12  2 14 12  6  8 14  8  8 10 10  0  0  2  4 12  6  8  4  6  2  8 10  8  0
 0  0  0  0  2  2  8 10  2 14  8 14  2  2  4 12 12 10  2  6 10  8 12  2 14  2 12 10  4  4  8  0  0  4  6  6  4 14 10  8  8  8  0 10  6 12  0  2 10  4 12 12 12 10  2  2  0 10  0  2  8 10  2  2 12  0  4 12  8 10 14 10 10  0 14 12  2 10 10  4  4  0  0  8  8  6  0

generates a code of length 87 over Z16 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+140x^77+534x^78+930x^79+1217x^80+1788x^81+2778x^82+3404x^83+5197x^84+5452x^85+8224x^86+6492x^87+7792x^88+6168x^89+5317x^90+3190x^91+2326x^92+1604x^93+1246x^94+666x^95+432x^96+244x^97+187x^98+114x^99+54x^100+12x^101+18x^102+4x^103+4x^104+1x^124

The gray image is a code over GF(2) with n=696, k=16 and d=308.
This code was found by Heurico 1.16 in 98.4 seconds.