The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  1  4  2  1  1  0  1  2  1  1  2  1  1  8  8  1  1  1  1  1  1  1  8  2  1  0  1  4  2  2  1  2  2  2  1
 0  2  0  6  4  6 12  2  6 14  8 12  0  2  4 10 14  0 14  2 14  2 14 12  2  2 12  6  0 12 10  0 12  2  2  2  2 12  6  8 10 14  2 10 10  4  4  0  6 10  8  2 14  8  0
 0  0 12  0  4  0  0  8  4 12  0  4  4 12  8  4  0  8  8  4  0 12 12  8  0 12 12  0 12 12  4  0 12  0  0  8 12 12  4  0 12 12  8  0 12  4  8 12 12  8  8  4  0  4  0
 0  0  0 12  0  0  0 12  4  8 12 12  4  8 12  4  4  8 12  8  8  0  0  0  8 12 12  0 12  0 12  4  8 12 12  4  4  4 12  0  4  8  0  0  4  4  4  8 12  8  4  8 12  0  0
 0  0  0  0  8  0  0  0  0  0  0  0  8  8  0  0  8  8  8  8  8  8  8  8  8  0  8  8  0  8  8  0  0  0  0  0  0  0  8  8  0  0  8  8  8  0  8  8  0  8  8  0  0  8  0
 0  0  0  0  0  8  0  8  0  8  8  8  8  8  8  8  8  0  0  0  0  0  8  8  8  8  0  0  0  8  8  0  8  8  8  0  8  0  0  8  0  0  0  8  8  8  8  8  0  0  0  0  8  8  0
 0  0  0  0  0  0  8  0  0  0  0  8  8  8  8  8  0  0  8  0  8  8  8  8  0  8  0  8  0  0  8  8  0  8  0  8  0  8  8  0  8  0  0  8  0  0  0  0  0  8  0  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+44x^46+80x^47+174x^48+276x^49+613x^50+746x^51+1259x^52+1878x^53+2006x^54+2364x^55+2093x^56+1712x^57+1227x^58+806x^59+510x^60+196x^61+176x^62+90x^63+43x^64+28x^65+23x^66+8x^67+15x^68+6x^69+6x^70+2x^71+1x^72+1x^74

The gray image is a code over GF(2) with n=440, k=14 and d=184.
This code was found by Heurico 1.16 in 4.77 seconds.