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

generates a code of length 81 over Z16 who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+20x^83+5x^84+4x^85+2x^86

The gray image is a code over GF(2) with n=648, k=5 and d=332.
This code was found by Heurico 1.16 in 0.331 seconds.