The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+194x^46+60x^47+560x^48+592x^49+1822x^50+2740x^51+5106x^52+6768x^53+9696x^54+10348x^55+9876x^56+6936x^57+5134x^58+2588x^59+1675x^60+608x^61+450x^62+72x^63+200x^64+8x^65+64x^66+19x^68+16x^70+3x^72

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 43.9 seconds.