The generator matrix

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

generates a code of length 85 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+30x^82+128x^83+192x^84+320x^85+192x^86+128x^87+28x^88+2x^90+1x^96+1x^104+1x^136

The gray image is a code over GF(2) with n=680, k=10 and d=328.
This code was found by Heurico 1.16 in 0.358 seconds.