The generator matrix

 1  0  1  1  1  6  1  1  8  1 14  1  1  1  0  1  6  1  1  1  4 10  1  1  1  1  8  1  6  1  1  0  1  1  8 14  1  1  1 10  1  1  1  2  1  1  1 10 12 14  1  6  1  1  4  0  1  2  1
 0  1 11  6 13  1  0  3  1  6  1  5  2 11  1 13  1 12  5  6  1  1  0  7  2  9  1  4  1 15  7  1  1 10  1  1 14  3  0  1 10  1 13  1  3  0 11  1  1  1 13  1  0  2 12  2  7  8  0
 0  0 12  0  4  0  0  4  8  0  8  4  0  0 12  8 12  8  8  4  4  8 12  0 12  0  4  4  0  4  8  4  0  4  0  8  8  0 12 12  4 12  4 12  4  0  4  0  0  8 12 12  0  8  0  8  0 12  0
 0  0  0 12  0  0 12  4 12  8  4  4 12  4 12  4  4  0  8  4  8  8  4  4  0  0  0  8  8  4  4 12 12 12  4  4  4  0 12  4 12  0  8  0 12  8  8  0  8  8 12 12  0 12  4  4  4  0  0
 0  0  0  0  8  0  0  0  0  0  0  8  0  0  8  0  0  8  8  8  8  8  0  8  0  8  0  8  8  0  8  8  8  0  0  0  0  8  8  0  8  8  0  0  8  8  0  8  0  0  8  8  8  0  8  0  0  0  0
 0  0  0  0  0  8  0  0  8  8  8  8  8  0  0  8  8  8  0  0  8  8  8  8  0  8  8  8  0  8  0  8  8  0  0  0  8  0  8  8  8  0  8  0  8  0  8  8  8  0  0  8  8  8  8  0  8  0  0
 0  0  0  0  0  0  8  8  8  0  0  8  0  8  8  8  8  0  0  0  8  8  0  0  8  8  0  8  0  0  0  0  8  0  8  0  0  8  0  0  8  8  0  8  0  8  8  0  8  8  8  0  0  8  0  8  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+32x^50+84x^51+297x^52+352x^53+1015x^54+1312x^55+2936x^56+2838x^57+5492x^58+4132x^59+5465x^60+3006x^61+2940x^62+1144x^63+933x^64+294x^65+214x^66+96x^67+81x^68+34x^69+29x^70+16x^71+10x^72+4x^73+6x^74+5x^76

The gray image is a code over GF(2) with n=472, k=15 and d=200.
This code was found by Heurico 1.16 in 12.4 seconds.