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  2  1
 0 12  0  4  0  0  4 12  0  0  4 12  0  0  4 12  0  8  4  4  8  8 12 12 12  0  4  8  0  8  4  4  4  8  0 12  8  8 12 12  4  4  8  0  8  0 12 12  8  0 12 12 12  8  0  8 12  0
 0  0 12  4  0 12  4  0  0 12  4  0  0 12  4  0  8  4  0 12  8 12 12  8  4  8  0  4  8  4  0 12  8  0  4 12 12  8  8  4 12  8  8  4  0  4 12  8  4  4 12  4  8  8  8  0  0  0
 0  0  0  8  0  0  8  0  8  8  0  8  8  8  0  8  8  0  8  0  0  8  8  0  8  8  0  0  0  8  8  0  0  0  8  0  0  8  8  8  8  0  0  0  8  8  0  0  8  0  8  0  8  8  0  0  0  0
 0  0  0  0  8  8  8  8  8  8  0  8  0  0  8  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  8  8  8  0  8  8  8  0  0  8  8  8  0  8  8  0  0  0  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+13x^54+24x^55+20x^56+104x^57+707x^58+104x^59+8x^60+24x^61+15x^62+3x^64+1x^114

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 0.154 seconds.