The generator matrix

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

generates a code of length 56 over Z16 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+56x^46+92x^47+203x^48+388x^49+893x^50+1462x^51+3586x^52+4460x^53+8245x^54+8002x^55+10873x^56+7904x^57+8346x^58+4432x^59+3582x^60+1464x^61+815x^62+316x^63+148x^64+108x^65+65x^66+26x^67+30x^68+12x^69+11x^70+6x^71+7x^72+2x^76+1x^78

The gray image is a code over GF(2) with n=448, k=16 and d=184.
This code was found by Heurico 1.16 in 43.1 seconds.