The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+215x^46+76x^47+625x^48+380x^49+1469x^50+1084x^51+3498x^52+2164x^53+5519x^54+2740x^55+5596x^56+2284x^57+3331x^58+1140x^59+1366x^60+284x^61+589x^62+80x^63+214x^64+8x^65+71x^66+24x^68+5x^70+4x^72+1x^74

The gray image is a code over GF(2) with n=440, k=15 and d=184.
This code was found by Heurico 1.16 in 18.2 seconds.