The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 12  0  0  1  2  8  2  1  1  2  0  2  8  4  4  2  8  2  2  1  1  2  2  1  1  1  8  1  1  1
 0  2  0  0  0  2 14  2  4 12 14 10 12 14 12 14  4 14  0  4  2 10  4  6  6  2 12  2  4  8  2 14 14  2  2  2 14  0  2  8 14  2 14  6  0 10  6  6 12 14  0  8  6  4  4
 0  0  2  0  2  2 10  8  0  0  2 10  6  4 14  4  8  8  4  2 14 10  2  0  4  6  2  2 14 10 12  2 14 14  4 12  6  2 10 12  8  6  6  4  0 10 12  0  2  4 10  2 14  6  4
 0  0  0  2  2  8  2  6 14  4  4 14 14 10 12  4 10 14 12  6 12  6 12  0 12  0 12  2  2  6 10  6  8  6  8  0  4  2  4  2 14  2  0 10 12 10  4  6  8 14 10  0  8  4  4
 0  0  0  0  4  0  4 12 12 12 12  8  8  0 12 12 12  0  0  4  0 12 12 12  8  8  0  8  0  4  4  8  4  0  4  8  0  0  4  4  8  4  4 12  8  4  4  4  0  8  8  8  0  8  4

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

Homogenous weight enumerator: w(x)=1x^0+102x^47+368x^48+634x^49+1261x^50+1482x^51+2736x^52+3182x^53+4639x^54+4220x^55+4581x^56+3086x^57+2887x^58+1356x^59+948x^60+546x^61+379x^62+194x^63+97x^64+40x^65+16x^66+2x^67+4x^68+2x^70+4x^71+1x^72

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 15 seconds.