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

generates a code of length 55 over Z16 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+84x^46+394x^47+727x^48+1206x^49+1683x^50+2726x^51+4336x^52+7088x^53+8802x^54+11476x^55+8921x^56+7078x^57+4223x^58+2872x^59+1576x^60+1062x^61+676x^62+316x^63+177x^64+60x^65+16x^66+22x^67+5x^68+2x^69+4x^70+2x^71+1x^84

The gray image is a code over GF(2) with n=440, k=16 and d=184.
This code was found by Heurico 1.16 in 54.4 seconds.