The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+78x^46+174x^47+478x^48+564x^49+1263x^50+1436x^51+2920x^52+2748x^53+4869x^54+3480x^55+5213x^56+2716x^57+2964x^58+1536x^59+1137x^60+472x^61+369x^62+146x^63+96x^64+24x^65+48x^66+12x^67+11x^68+4x^69+8x^70+1x^74

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 15.8 seconds.