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  2  1  1  2  1  1  2  1  1  2  1  1  2  2  1  1  2  2  1  2  1  4  2  2  1  4  2  2  1  2  4  2  2  8  4  0  2  1  4  4  2  2  8  4  0  8  4  4  2  8  1  4  2  2
 0  8  0  8  0  8  0  8  0  8  0  8  0  8  0  8  0  8  0  8  0  8  0  8  0  8  8  0  8  8  0  8  8  0  8  8  0  8  8  0  0  8  0  8  0  0  8  8  8  0  0  8  0  8  8  0  8  8  0  8  0  8  0  0  8  0  8  0  8  0  8  0  8  0  0  0  8  0  8  0

generates a code of length 80 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+24x^82+5x^84+2x^86

The gray image is a code over GF(2) with n=640, k=5 and d=328.
This code was found by Heurico 1.16 in 0.324 seconds.