The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+68x^46+184x^47+330x^48+644x^49+1010x^50+1458x^51+2330x^52+3480x^53+4424x^54+4816x^55+4557x^56+3594x^57+2368x^58+1494x^59+887x^60+486x^61+243x^62+150x^63+112x^64+50x^65+42x^66+24x^67+7x^68+2x^69+4x^70+2x^71+1x^78

The gray image is a code over GF(2) with n=440, k=15 and d=184.
This code was found by Heurico 1.16 in 15.9 seconds.