The generator matrix

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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+28x^57+10x^58+192x^59+10x^60+4x^62+3x^64+2x^66+2x^68+4x^73

The gray image is a code over GF(2) with n=472, k=8 and d=228.
This code was found by Heurico 1.16 in 1.22 seconds.