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

generates a code of length 84 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+178x^82+224x^83+238x^84+224x^85+136x^86+14x^88+6x^90+1x^100+1x^112+1x^116

The gray image is a code over GF(2) with n=672, k=10 and d=328.
This code was found by Heurico 1.16 in 3.65 seconds.