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

generates a code of length 85 over Z16 who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+20x^87+4x^88+4x^89+2x^90+1x^92

The gray image is a code over GF(2) with n=680, k=5 and d=348.
This code was found by Heurico 1.16 in 0.393 seconds.