The generator matrix

 1  0  1  1  1  6  1  1  0  1  6  1  1  8  1 14  1  1  1  1  0  2  1  1  1  1  1  1 10 12  1  1  0  1  1  1  0  1  1  2  1  2  1  1  1  0  1  1  1  2  1  8 10  1  1  1  2  1
 0  1 11  6  1  1  0 13  1 11  1 14  6  1  3  1  8  5  0  3  1  1  7 13  6  4 15  2  1  1  6  0  1  9  5  6  1  4  6  1 11  1  1  8  2  2  3  4  9 12 12  2  1  7 12  0  0  8
 0  0 12  0  0  0  0 12  4  8  4  0  0  8 12  8  8  4  4  8 12 12  4  0  4  4  8  4  8 12  0  0  0  0 12  4 12  4  0  0  0  0  8  4 12  4  4  8  8 12  4  0  8  8  4  0  4  0
 0  0  0 12  0  0  0  0  0  8  8  0  8  8  0  0 12  4 12 12  4  0  4 12 12  0  8  4  4 12 12 12  4  8  8  0  4  8  8  4  8 12  8  0  4 12  4 12  4  4  0 12 12 12 12  4  4  0
 0  0  0  0  4  0 12  8  4  4  4 12  8  4 12 12  0  0  8  4  0  0  4  8  8  8  0  4 12  8  4  4  4  0  4  4  4  8 12  0 12  8  4 12 12 12  0  0 12  0  0  0  8 12  8  4  0  4
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  8  8  0  0  0  8  0  0  8  8  8  8  8  8  0  8  8  8  8  8  8  0  0  8  8  0  0  8  0  0  8  0  8  8  8  0  8  8  8  8  0  8  0
 0  0  0  0  0  0  8  0  0  0  0  8  0  8  8  8  0  0  8  0  8  8  8  8  8  8  8  0  8  8  8  0  0  0  0  8  8  8  0  8  8  0  8  8  8  8  8  8  8  0  0  0  8  0  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+66x^48+140x^49+206x^50+470x^51+762x^52+1594x^53+2844x^54+4538x^55+7388x^56+9790x^57+10335x^58+9366x^59+7397x^60+4796x^61+2661x^62+1466x^63+793x^64+396x^65+184x^66+148x^67+96x^68+50x^69+22x^70+12x^71+8x^72+2x^73+3x^74+1x^76+1x^78

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 45.5 seconds.