The generator matrix

 1  0  1  1  1  4  1 10  1  1  6  1  1  4  1  4  1  1  1  1  1 14  1  6  1  1 12  1  1  8  1  1  0  2  1  1 12  1  1 12  1  1  4  1  6 10  1  2  1  1 12  2  1  2  1  1  1 10  1
 0  1  1  0 11  1 10  1  5  6  1  7 15  1 12  1 10  1  7  1 14  1 12  1  7  8  1  9  0  1  9  0  2  1 15  0  1  4 14  2  9  3  1  6  1  1  5  4  1  0  8 12  4 10 13 13  4  1  0
 0  0  2  6  4  6 10 10  0  0  8  2  2 10  6  0  4  6  0  8 14  4  4  6  6  2  6  6 10  8  8 12  2  2  4  4 10  2  0 14  2  6 12  6  8  6 12 14  8  4  2  2 14  6 10  8  0 10  0
 0  0  0 12  0  4 12  4  0  0  0  8  4  0  0  4 12 12  4  4 12  8  4  0  4  8  0  8 12 12  0  4 12  8  4 12  4  4  8  4 12  0  8  0  8  4  4 12  4  8  4  0  4 12 12  4 12 12  0
 0  0  0  0  8  0  0  0  8  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  0  8  0  8  0  0  0  8  8  8  8  8  8  0  0  8  0  0  0  0  0  8  8  0  8  8  0  0  0  0  8
 0  0  0  0  0  8  0  8  0  0  0  0  0  8  0  0  0  0  0  0  8  0  8  8  0  8  8  8  8  8  8  8  0  0  8  0  8  0  8  0  8  8  8  0  8  8  0  8  0  0  8  0  0  0  8  0  8  0  8
 0  0  0  0  0  0  8  8  8  8  8  8  0  0  0  8  8  8  8  0  8  8  0  0  0  8  8  0  0  8  8  8  0  8  0  0  0  0  0  0  0  8  8  0  0  8  0  0  8  0  8  8  0  8  0  0  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+45x^50+196x^51+515x^52+1004x^53+1921x^54+3114x^55+5241x^56+6700x^57+9823x^58+8738x^59+9519x^60+6716x^61+5361x^62+3120x^63+1768x^64+892x^65+482x^66+164x^67+96x^68+40x^69+26x^70+22x^71+10x^72+8x^73+6x^74+6x^75+2x^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 43.7 seconds.