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  2  1  1  2  2  8  4  2  2  1  0  2  4  1  1  1  1  1  2 12  0  2  8  1  1  1  8  1  1  1  8  0  1
 0  2  0  2  0  0  6  6  4 14  2  4 12 14  2 12 12  6  6  0 14  4  0  2  8 10  6  2  4  8  6  4  2  2 12 10  2  0 12  2 14  0  0 12  2  6 14 12  2  6  6 14  4  2  0
 0  0  2  2 12  6  6  0  4  4 14  2  0  2 12  6 10  0  6  8  2 14  6 12 14  6  0 12  2  2  0 12  6 10  2  6  0 12  8  0 12  2  2 10 12 14  4  4 12 10  6  0  2  8  0
 0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  8  0  0  0  8  0  8  8  8  8  0  8  8  0  0  0  0  0  8  0  8  8  0  8  8  8  8  8  8  8  8  8  0  8  8  0  0  0  8  0
 0  0  0  0  8  0  0  0  8  0  0  0  8  8  8  8  8  0  0  8  8  8  8  8  0  8  0  0  8  0  8  0  0  0  0  0  8  0  8  0  0  0  8  0  8  0  8  8  8  8  0  0  8  8  8
 0  0  0  0  0  8  0  0  0  8  8  8  0  8  8  8  8  8  8  8  8  0  0  8  0  0  0  0  0  0  0  8  8  0  8  8  0  0  8  8  8  8  0  8  0  0  8  0  0  0  0  0  0  0  8
 0  0  0  0  0  0  8  0  0  0  0  8  8  0  8  8  0  0  8  8  8  8  8  8  8  0  8  8  8  0  0  0  8  0  8  8  0  8  0  0  0  8  0  0  8  0  0  8  8  8  0  8  8  0  8
 0  0  0  0  0  0  0  8  8  0  8  8  0  0  0  8  0  8  8  0  0  0  8  8  0  8  0  8  0  8  8  8  0  8  0  0  0  8  0  0  0  8  8  8  8  8  8  8  0  0  0  0  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+67x^46+140x^47+395x^48+532x^49+1182x^50+1194x^51+2943x^52+2784x^53+5147x^54+3994x^55+5235x^56+2840x^57+2918x^58+1228x^59+1070x^60+448x^61+361x^62+88x^63+72x^64+52x^65+42x^66+10x^67+11x^68+9x^70+2x^71+1x^72+2x^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 15.7 seconds.