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

generates a code of length 55 over Z16 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+50x^45+196x^46+420x^47+721x^48+1212x^49+2258x^50+3316x^51+4685x^52+6846x^53+8544x^54+9052x^55+8428x^56+6962x^57+4989x^58+3268x^59+2060x^60+1200x^61+576x^62+304x^63+218x^64+106x^65+72x^66+24x^67+15x^68+8x^69+4x^70+1x^74

The gray image is a code over GF(2) with n=440, k=16 and d=180.
This code was found by Heurico 1.16 in 59.8 seconds.