The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+27x^46+128x^47+193x^48+314x^49+825x^50+1436x^51+2606x^52+4412x^53+7390x^54+10216x^55+10807x^56+9892x^57+7222x^58+4554x^59+2730x^60+1348x^61+701x^62+326x^63+173x^64+90x^65+45x^66+42x^67+31x^68+8x^69+14x^70+2x^71+2x^72+1x^76

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 43.5 seconds.