The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+107x^48+526x^49+1027x^50+1850x^51+2318x^52+3764x^53+4223x^54+5140x^55+4322x^56+3960x^57+2349x^58+1606x^59+762x^60+406x^61+191x^62+136x^63+38x^64+14x^65+16x^66+4x^67+4x^68+2x^69+2x^70

The gray image is a code over GF(2) with n=440, k=15 and d=192.
This code was found by Heurico 1.16 in 10.3 seconds.