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  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  1  1
 0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  8  4  0 12  8  4  0 12  8  4  0 12  8  4  8  4  8  4  8  4  8  4  0  8 12  4  8  0 12  4  8  4  0  8  8 12  4 12  0  0
 0  0  8  0  0  0  8  0  0  0  0  0  8  0  8  0  0  8  0  8  0  8  0  8  8  8  8  8  8  8  8  8  8  0  8  0  8  0  8  0  0  0  8  8  0  8  8  0  8  8  0  0  0  8  8  8  0  0
 0  0  0  8  0  0  0  8  0  0  0  0  0  8  0  8  8  8  8  8  8  8  8  8  8  0  8  0  8  0  8  0  0  8  0  8  0  0  0  0  8  8  8  0  0  8  8  8  8  8  8  8  0  0  8  0  0  0
 0  0  0  0  8  0  8  0  0  8  8  8  8  8  0  8  8  0  0  8  8  0  0  8  0  8  0  8  8  0  8  0  0  0  8  8  0  8  8  0  0  8  8  0  8  8  8  8  8  0  0  8  8  8  0  0  0  0
 0  0  0  0  0  8  0  8  8  8  8  0  8  0  8  8  0  0  0  0  8  8  8  8  0  0  8  8  8  8  0  0  0  0  0  0  8  0  8  0  8  0  8  8  0  0  0  8  8  0  0  8  8  8  8  0  0  8

generates a code of length 58 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+26x^54+47x^56+876x^58+47x^60+26x^62+1x^116

The gray image is a code over GF(2) with n=464, k=10 and d=216.
This code was found by Heurico 1.16 in 0.221 seconds.