The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  1  1  1  1  1  1  1  8  1  0  1  1  1  1  1  1  0  1  2  4  1  2  1  1  1  1  2  1  1  8  2  1  1  1  1  2  2  1
 0  2  0  6  4  6 12  2  8  6  0 14  4  2  4 10  0  6  2 14  6 10 12 14  0  8 10  2  0  2  0  4  4 14  4  8  2  6 14  2 12  2  4 12 12  4 14  2  0  2  2 10 10  2 14 14  4  8
 0  0 12  0  4  0  0  8  0  4  4 12  8 12  4 12  0  8  4  8  8 12  8 12 12  4  0  8  0  0  8  4  8  8  4 12 12  8 12  0  0  4  4  4 12 12  4  0  8  0  4  0 12  4  0  0  4 12
 0  0  0 12  0  0  8  4  4  4  4  8 12  0  4  4  0  0  0  4  8  4  8  0  4  8 12  4 12  8  8 12  4  0  0  4 12  4  8  4  0  0  8  8 12  4 12  8  0 12  0  0 12 12  4 12  8  4
 0  0  0  0  8  8  8  8  0  0  0  8  8  0  8  8  8  8  8  8  8  0  0  0  0  8  0  8  8  8  0  0  0  0  0  8  8  8  0  0  8  0  0  8  8  0  0  0  0  0  8  8  0  0  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+65x^52+90x^53+278x^54+304x^55+484x^56+532x^57+682x^58+500x^59+477x^60+272x^61+233x^62+72x^63+53x^64+10x^65+18x^66+4x^67+4x^68+2x^69+3x^70+4x^72+6x^73+1x^74+1x^90

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 0.586 seconds.