The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+99x^82+350x^83+782x^84+798x^85+980x^86+652x^87+1035x^88+832x^89+916x^90+570x^91+598x^92+270x^93+115x^94+80x^95+31x^96+12x^97+28x^98+12x^99+16x^100+8x^101+4x^102+1x^110+1x^114+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 1.77 seconds.