The generator matrix

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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+40x^59+4x^60+8x^61+8x^62+3x^64

The gray image is a code over GF(2) with n=472, k=6 and d=236.
This code was found by Heurico 1.16 in 0.086 seconds.