The generator matrix

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

generates a code of length 55 over Z16 who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+74x^47+191x^48+310x^49+1063x^50+1324x^51+2647x^52+3216x^53+5245x^54+4578x^55+5511x^56+3232x^57+2669x^58+1178x^59+818x^60+284x^61+206x^62+84x^63+42x^64+26x^65+31x^66+26x^67+3x^68+4x^69+1x^70+3x^72+1x^74

The gray image is a code over GF(2) with n=440, k=15 and d=188.
This code was found by Heurico 1.16 in 45.6 seconds.