The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+68x^48+122x^49+254x^50+368x^51+752x^52+1146x^53+1560x^54+2496x^55+3354x^56+4080x^57+4385x^58+4202x^59+3433x^60+2388x^61+1604x^62+1006x^63+614x^64+402x^65+228x^66+106x^67+89x^68+50x^69+31x^70+10x^71+7x^72+4x^73+4x^75+2x^76+1x^78+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.