The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+67x^48+124x^49+249x^50+340x^51+525x^52+940x^53+1025x^54+3044x^55+2495x^56+5868x^57+3587x^58+5788x^59+2488x^60+2976x^61+1058x^62+932x^63+492x^64+292x^65+188x^66+112x^67+65x^68+36x^69+29x^70+24x^71+9x^72+4x^73+7x^74+2x^76+1x^82

The gray image is a code over GF(2) with n=464, k=15 and d=192.
This code was found by Heurico 1.16 in 19.2 seconds.