The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+131x^46+438x^47+795x^48+1360x^49+1953x^50+3444x^51+4605x^52+6716x^53+8249x^54+9738x^55+8445x^56+7200x^57+4945x^58+3162x^59+1811x^60+1204x^61+566x^62+400x^63+201x^64+88x^65+24x^66+34x^67+12x^68+8x^69+2x^70+2x^72+2x^74

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 56.5 seconds.