The generator matrix

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

generates a code of length 51 over Z16 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+50x^49+105x^50+12x^51+10x^52+24x^53+38x^54+4x^55+5x^56+6x^57+1x^58

The gray image is a code over GF(2) with n=408, k=8 and d=196.
This code was found by Heurico 1.16 in 0.151 seconds.