The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+33x^48+110x^49+216x^50+480x^51+917x^52+1552x^53+2901x^54+4682x^55+7132x^56+9512x^57+10330x^58+9718x^59+7347x^60+4618x^61+2800x^62+1550x^63+764x^64+356x^65+218x^66+138x^67+47x^68+38x^69+43x^70+8x^71+14x^72+6x^73+4x^74+1x^76

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 45.9 seconds.