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  1  1  1  2  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  4  1  1  4  1  1  4  1  1
 0 12  0  0  0  4 12 12  8  8  0  0  4  4  4 12  0  8  4  4  8  8  4  4  8 12 12 12 12  4  8  0 12 12  0 12  8  4  4  4  0 12  0  4  4  4  4  0 12  0 12
 0  0 12  0  4  4  4  0  8  0  4 12  4  4  0  8  0  8 12  8 12 12 12  8  0  8  8 12  4  0 12  4  4  4  4  0  0  0  0  8 12 12 12  8  0  8 12  8  8  8 12
 0  0  0 12  4  8  4  4  0  4  4  0  0 12  4  8  0 12  4  4 12  8  0  0 12  8  0  4  8  4  0 12  8 12  8 12 12  8  0  8 12 12  8  8  0  4  4  8  0 12  8
 0  0  0  0  8  8  0  8  8  8  0  8  0  8  0  8  8  8  0  0  8  8  0  0  0  0  8  8  8  8  0  0  0  8  8  0  8  0  0  0  8  0  8  0  8  8  8  8  8  0  8

generates a code of length 51 over Z16 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+106x^46+126x^48+144x^49+442x^50+480x^51+421x^52+144x^53+76x^54+47x^56+42x^58+10x^60+6x^62+2x^64+1x^92

The gray image is a code over GF(2) with n=408, k=11 and d=184.
This code was found by Heurico 1.16 in 0.843 seconds.