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  1  1  1  1  1  1  1  2  2  2  4  2  1  1  1  2  4  2  2  2  0  1  1  2  1  0  2  2  1  2  2  1  1  1
 0 12  0  0  0  4 12  4  0  8  4 12  0  8 12  0  4  4  8  4 12 12  8  8 12 12  0 12  4  8  4  0 12  8 12  8  0  4  0  4  4 12  4  8  0 12 12  8  0  4  4  4  8  4 12 12  0  8
 0  0 12  0  4  4 12  0  0  0  4  8  4  4  0  8  4  4 12  8 12  0  8  8  4  0 12  0 12  8  4  4  4 12 12  4  8  4  4  0 12 12  0 12  8  4  4  0  4  0 12  4  0  0  0  4 12  0
 0  0  0 12  4  0 12  4  0  4 12  8 12  0  4  8  8  8  4  0  4  4 12  4  4  4 12  8  0  8  8 12 12 12 12  8 12  0  0 12  0 12  4 12  4 12  4 12  0  0  8  0  8 12  4 12  8  4
 0  0  0  0  8  0  0  0  8  0  8  8  0  0  0  0  8  8  8  0  8  8  0  0  0  8  0  8  0  8  0  8  8  8  8  8  8  8  0  8  8  0  8  8  8  0  8  8  0  8  0  0  0  0  0  8  0  0
 0  0  0  0  0  8  0  0  8  8  8  0  8  0  8  8  0  8  8  0  8  8  0  8  0  0  0  0  8  0  0  0  8  8  0  0  8  8  8  0  0  0  0  8  0  0  8  8  0  0  8  8  8  0  0  0  0  0
 0  0  0  0  0  0  8  0  0  0  0  0  0  8  8  8  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  8  8  0  8  8  0  8  8  0  0  8  8  0  0  0  8  8  8  8  0  8  0  8  0  8  8  0
 0  0  0  0  0  0  0  8  8  8  0  8  0  0  0  0  0  8  0  8  8  0  8  0  8  8  0  0  0  8  8  0  8  8  0  0  8  8  0  0  0  8  8  0  8  0  0  8  8  0  0  8  0  8  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+57x^48+78x^49+168x^50+226x^51+325x^52+364x^53+543x^54+706x^55+1671x^56+2714x^57+2693x^58+2768x^59+1714x^60+748x^61+523x^62+288x^63+246x^64+166x^65+132x^66+94x^67+65x^68+24x^69+29x^70+14x^71+17x^72+2x^73+5x^74+1x^78+2x^82

The gray image is a code over GF(2) with n=464, k=14 and d=192.
This code was found by Heurico 1.16 in 6.53 seconds.