The generator matrix

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

generates a code of length 55 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+141x^48+878x^49+1615x^50+3490x^51+5297x^52+7152x^53+8848x^54+10430x^55+9131x^56+7976x^57+4891x^58+2968x^59+1437x^60+772x^61+311x^62+102x^63+55x^64+20x^65+14x^66+2x^67+2x^68+1x^70+2x^73

The gray image is a code over GF(2) with n=440, k=16 and d=192.
This code was found by Heurico 1.16 in 31.6 seconds.