The generator matrix

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

generates a code of length 86 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+98x^82+300x^83+228x^84+316x^85+248x^86+288x^87+184x^88+224x^89+114x^90+20x^91+16x^92+4x^93+1x^96+2x^98+2x^106+2x^120

The gray image is a code over GF(2) with n=688, k=11 and d=328.
This code was found by Heurico 1.16 in 0.641 seconds.