The generator matrix

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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+28x^49+94x^50+244x^51+339x^52+1006x^53+1048x^54+3224x^55+2756x^56+5670x^57+3863x^58+5818x^59+2772x^60+3330x^61+1044x^62+890x^63+225x^64+198x^65+70x^66+58x^67+37x^68+8x^69+18x^70+6x^71+10x^72+5x^74+4x^76+2x^78

The gray image is a code over GF(2) with n=464, k=15 and d=196.
This code was found by Heurico 1.16 in 12.1 seconds.