The generator matrix

 1  0  1  1  1 12  1  1  2  1  6  1  1  1  1  8  1 10  1  1  8  1 10  1  4  1  1  1  1  1  4  1  2  1  6  8  1  1  0  1  4  1 10  4  8  1  1  1  1  1  1  1  1  1  1
 0  1  1 12 11  1  2  5  1  6  1  7  4 13  7  1  5  1 12 11  1 14  1  6  1  6  9  3 14 15  1 13  1 10  1  2  2  5  8 15  1  9  1  1  2 11  4  4 14  3 14  3 12 11  0
 0  0  2  6  4  6  2  0 10  0  8  2 10  4 12  4  6 14  0  2  2  4  0  6 10 14 14  0  2 14  4 12 12 14  6  2 12  0  2  8  4  8 14  0 14  2  2  4  2  0 12  6 14  4  0
 0  0  0  8  0  0  0  0  8  0  0  0  0  8  8  0  8  8  8  8  0  0  0  8  0  8  8  8  0  0  0  8  0  0  8  0  8  8  0  0  8  8  8  8  0  8  0  0  8  0  8  0  0  8  0
 0  0  0  0  8  0  0  0  0  8  8  0  0  8  0  8  8  8  0  0  8  0  8  0  0  8  0  0  8  8  0  0  8  8  0  0  8  8  8  8  8  0  8  8  0  8  8  0  8  0  8  0  0  8  0
 0  0  0  0  0  8  0  0  8  0  0  0  0  0  0  0  0  8  0  0  8  8  0  8  8  8  0  0  0  8  8  8  8  8  0  0  0  8  0  8  8  8  8  8  8  0  8  0  8  8  0  8  0  8  0
 0  0  0  0  0  0  8  0  8  0  0  0  8  8  8  8  8  8  8  8  8  0  8  0  8  0  0  0  0  0  8  8  0  0  0  0  0  0  8  8  0  0  0  8  0  0  8  8  0  8  8  8  8  8  0
 0  0  0  0  0  0  0  8  0  8  8  8  8  0  8  0  8  0  8  8  0  0  8  8  8  0  8  8  0  0  8  8  0  8  0  8  8  0  0  8  8  0  8  8  8  0  8  0  8  8  8  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+52x^46+192x^47+355x^48+890x^49+1380x^50+3162x^51+4829x^52+7322x^53+9288x^54+10460x^55+9252x^56+7820x^57+4858x^58+2888x^59+1340x^60+820x^61+266x^62+180x^63+76x^64+42x^65+22x^66+14x^67+15x^68+2x^69+2x^70+4x^72+4x^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 39.4 seconds.