The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+63x^48+148x^49+201x^50+412x^51+548x^52+858x^53+1545x^54+2296x^55+3475x^56+4512x^57+4803x^58+4404x^59+3451x^60+2438x^61+1417x^62+806x^63+587x^64+314x^65+199x^66+126x^67+61x^68+48x^69+26x^70+18x^71+6x^72+2x^73+2x^75+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 19.1 seconds.