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  1  1  1  1  1  1  1  2  8  2  4  2  2  0  2 12  2  0  2  2  2  1  1  1  1  1
 0  2  0 14  0  6  0 10  4  6 12  2  4 14 12 10  8  6  8  2  8 14  8 10 12 14  4 10 12  6  4  2  6  2 10  2  8 14  2  2  2  0  0  4 12  4 14  6  2 10  0
 0  0 12  4  8 12  4  8  4  0  0  4 12  8  8 12  8  8  4 12  0  0 12  4 12 12  8  0  4  4  0  8  0  4  8 12 12  4  0  4  8 12  4  4  0 12  4 12  4  4  0

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

Homogenous weight enumerator: w(x)=1x^0+90x^49+168x^50+106x^51+37x^52+38x^53+46x^54+14x^55+1x^56+8x^57+1x^58+1x^60+1x^74

The gray image is a code over GF(2) with n=408, k=9 and d=196.
This code was found by Heurico 1.16 in 0.131 seconds.