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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+56x^51+120x^52+102x^53+72x^54+272x^55+422x^56+586x^57+861x^58+670x^59+402x^60+214x^61+63x^62+70x^63+57x^64+46x^65+18x^66+18x^67+22x^68+12x^69+8x^70+2x^71+1x^74+1x^94

The gray image is a code over GF(2) with n=464, k=12 and d=204.
This code was found by Heurico 1.16 in 25.4 seconds.