The generator matrix

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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+93x^48+212x^49+457x^50+730x^51+1529x^52+1658x^53+3750x^54+4292x^55+8101x^56+6458x^57+10894x^58+6568x^59+8353x^60+4080x^61+3881x^62+1692x^63+1285x^64+642x^65+370x^66+206x^67+146x^68+60x^69+37x^70+16x^71+12x^72+8x^73+3x^74+2x^77

The gray image is a code over GF(2) with n=464, k=16 and d=192.
This code was found by Heurico 1.16 in 64.7 seconds.