The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+47x^46+190x^47+500x^48+1048x^49+1982x^50+3014x^51+5533x^52+6496x^53+9495x^54+9054x^55+9145x^56+6876x^57+5667x^58+2910x^59+1855x^60+892x^61+440x^62+172x^63+110x^64+44x^65+27x^66+20x^67+8x^68+4x^69+6x^70

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 40 seconds.