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  2  1  8  8  2  4  2  2 12  2  1  1  1  1  2  1  1  1  8  2  4  1  1  2  2  4 12  2  2  1  2  1  1  1  2
 0  2  0  2  0  0  6  6  4 14  2  4 12 14  2 12  2  4  4 10 14  6 12  0  4 10 12  2 14  2  8  2  2  6 14  8  8 12  0  4  6  4  2  6  4 14  2  4  2  2  8 14 14  4 14 10  6  4  4
 0  0  2  2 12  6  6  0  4  4 14  2  0  2 12  6 10  4  2  4  2  0 10  0  2  8  2 12 10  2  2  2  6  0  6 10  2 12  6  8 12  6 12  8  2  0 10 14  4  0  2  4  4 12 14 10 12  6  2
 0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  8  0  0  8  0  0  8  8  8  0  0  8  8  0  0  8  0  8  0  0  0  8  8  8  8  8  0  8  8  0  0  8  8  0  8  0  8  8  0  0  8  8  8  0
 0  0  0  0  8  0  0  0  8  0  0  0  8  8  8  8  0  8  0  0  8  8  0  0  0  8  0  8  8  8  0  8  0  8  0  0  8  8  8  0  8  0  8  8  8  8  8  8  8  0  8  8  8  0  0  0  8  8  8
 0  0  0  0  0  8  0  0  0  8  8  8  0  8  8  8  8  8  0  8  8  8  0  8  0  0  8  0  8  0  0  0  0  0  0  8  8  0  8  0  8  0  0  0  8  0  0  0  0  0  8  0  8  8  0  8  0  0  8
 0  0  0  0  0  0  8  0  0  0  0  8  8  0  8  8  8  0  8  0  8  8  8  8  0  0  8  8  0  0  8  8  0  8  0  8  0  0  0  0  0  8  8  0  8  8  8  0  8  8  0  0  8  8  8  8  0  8  0
 0  0  0  0  0  0  0  8  8  0  8  8  0  0  0  8  8  0  8  8  0  8  0  8  8  8  0  0  0  8  0  0  8  8  8  0  0  0  8  8  0  0  8  8  0  0  0  0  0  8  0  0  8  0  8  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+92x^50+108x^51+538x^52+460x^53+1473x^54+1124x^55+3534x^56+2112x^57+5445x^58+2632x^59+6219x^60+2104x^61+3207x^62+1176x^63+1317x^64+416x^65+481x^66+76x^67+138x^68+28x^69+45x^70+4x^71+28x^72+5x^74+1x^76+3x^78+1x^82

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 17.3 seconds.