The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1 12  1  1 10 12  1  1  6  1  1 10  1  1  0  1  1  1  1  1  1  1  1  1  0  0  1  1  1  1  1 10  1  1  1  1  2  8  1
 0  1  3  6  5  1 12 15  1  9 10  1  0  3  1  6  5  1 12 15  1 10  9  1  1  3  6  1  0  5  1 10 15  1  0  5 12  6  3 15  9  5 13  1  2 15  0  8  6  8  1  7  3  9 13  4  1  0
 0  0  8  0  0  0  0  0  8  8  0  8  8  8  0  8  8  0  0  0  0  8  8  8  8  0  0  8  8  0  8  8  8  0  8  0  8  0  8  0  0  8  0  8  8  0  8  0  8  8  0  8  8  8  0  0  8  0
 0  0  0  8  0  0  8  0  8  8  8  0  8  8  0  0  0  8  0  8  8  0  8  8  0  8  0  0  8  0  8  8  0  8  0  8  0  8  0  0  0  0  8  8  8  0  0  0  0  8  8  0  8  0  8  8  0  0
 0  0  0  0  8  0  8  8  0  0  8  0  0  8  8  0  8  8  0  8  0  8  0  8  8  0  8  0  8  0  8  8  8  8  0  0  8  8  8  0  0  8  0  8  0  8  0  8  0  0  0  0  0  0  8  8  8  0
 0  0  0  0  0  8  0  8  8  0  8  8  0  8  0  8  0  8  8  8  8  8  8  8  0  8  8  0  0  0  0  8  8  0  0  0  8  0  0  0  8  8  8  8  0  0  8  0  0  8  8  8  0  0  0  0  0  0

generates a code of length 58 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+33x^52+96x^53+270x^54+292x^55+556x^56+456x^57+715x^58+444x^59+576x^60+272x^61+225x^62+92x^63+47x^64+8x^65+2x^66+4x^67+3x^68+1x^70+2x^74+1x^82

The gray image is a code over GF(2) with n=464, k=12 and d=208.
This code was found by Heurico 1.16 in 0.267 seconds.