The generator matrix

 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  0  2 12  2  8  2  1  4  1  1  1  1  1  1  1  2  2  2  2  2  0  2 12  1  2  8  1  2  4  1  1  1  1  1  1  4  2  2  2  2  0  4  8  2  2  0 12  2  2  8  4  1  1  1  1  1  1  1
 0  2 12  6  8 14  4 10  0  6 12 10  8 14  4  2  0  6 12 10  8 14  4  2  6  2 10  2 14  2  2  0  2  6 12 10  8 14  4  2  0 12  8  4  6  2 10  2  0 14  2 12  2  2  8  4  6 10 14  2 12  0 12  8  4  4  4  4  6 10  2  2 14  2  2  2  0  8 12  4  0  8  0

generates a code of length 83 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+4x^82+104x^83+6x^84+8x^87+1x^88+2x^90+1x^94+1x^102

The gray image is a code over GF(2) with n=664, k=7 and d=328.
This code was found by Heurico 1.16 in 0.307 seconds.