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  1  1  1  1  1  1  2  2  2  2  2  2  2  2  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0 12  0  4  0  0  4 12  8  8 12  4  8  8 12  4  0  8  4 12  0  8  4 12  8  0 12  4  8  0 12  4  8  4 12  0  4  4 12 12  8  0 12  4  0  0  8  8  8  8  0  0  4  4 12 12 12 12  4  4  0  0  8  8  0  8  4 12  0  0  4  4 12  8  8 12  8  0 12  4  0  0
 0  0 12  4  8  4 12  8  8  4 12  8  0 12  4  0  0  4  4  0  8 12 12  8  8 12 12  8  0  4  4  0  4  4  0 12  8 12 12  4 12  4  8  0  0  8  8  0  4 12 12  4  4 12 12  4  0  8  8  0  0  8  8  0  0  4  4  0  8 12  0 12 12  8 12  8  0  4  4  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+15x^80+222x^82+15x^84+2x^98+1x^132

The gray image is a code over GF(2) with n=656, k=8 and d=320.
This code was found by Heurico 1.16 in 0.354 seconds.