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

generates a code of length 83 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+65x^80+176x^81+249x^82+168x^83+124x^84+112x^85+68x^86+40x^87+2x^88+16x^89+2x^90+1x^130

The gray image is a code over GF(2) with n=664, k=10 and d=320.
This code was found by Heurico 1.16 in 0.334 seconds.