The generator matrix

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

generates a code of length 88 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+77x^82+444x^83+639x^84+758x^85+1077x^86+824x^87+996x^88+734x^89+823x^90+690x^91+521x^92+230x^93+183x^94+88x^95+10x^96+42x^97+4x^98+14x^99+8x^100+12x^101+10x^102+4x^103+2x^110+1x^120

The gray image is a code over GF(2) with n=704, k=13 and d=328.
This code was found by Heurico 1.16 in 1.78 seconds.