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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+121x^50+430x^51+832x^52+1638x^53+2119x^54+3742x^55+4503x^56+6892x^57+7707x^58+9446x^59+7808x^60+7038x^61+4749x^62+3644x^63+2040x^64+1466x^65+606x^66+362x^67+163x^68+116x^69+56x^70+38x^71+12x^72+2x^73+2x^74+2x^75+1x^76

The gray image is a code over GF(2) with n=472, k=16 and d=200.
This code was found by Heurico 1.16 in 62.3 seconds.