The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+78x^51+217x^52+132x^53+655x^54+418x^55+1016x^56+936x^57+1381x^58+926x^59+1041x^60+396x^61+589x^62+82x^63+156x^64+64x^65+27x^66+20x^67+25x^68+8x^69+4x^70+12x^71+6x^72+1x^76+1x^80

The gray image is a code over GF(2) with n=464, k=13 and d=204.
This code was found by Heurico 1.16 in 2.71 seconds.