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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+48x^58+8x^60+7x^64

The gray image is a code over GF(2) with n=464, k=6 and d=232.
This code was found by Heurico 1.16 in 0.0922 seconds.