The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+343x^48+1562x^49+3753x^50+6794x^51+10300x^52+14308x^53+18418x^54+19990x^55+18466x^56+15078x^57+10376x^58+6144x^59+3232x^60+1472x^61+534x^62+158x^63+102x^64+20x^65+7x^66+2x^67+4x^68+8x^69

The gray image is a code over GF(2) with n=440, k=17 and d=192.
This code was found by Heurico 1.16 in 132 seconds.