The generator matrix

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

generates a code of length 57 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+60x^48+78x^49+179x^50+370x^51+739x^52+1618x^53+2477x^54+3620x^55+4758x^56+4954x^57+4771x^58+3844x^59+2442x^60+1448x^61+710x^62+328x^63+169x^64+86x^65+35x^66+26x^67+17x^68+6x^69+11x^70+4x^71+4x^72+2x^73+7x^74+2x^76+2x^78

The gray image is a code over GF(2) with n=456, k=15 and d=192.
This code was found by Heurico 1.16 in 11.7 seconds.