The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+32x^50+122x^51+261x^52+380x^53+907x^54+1658x^55+2435x^56+3696x^57+4507x^58+4816x^59+4652x^60+3568x^61+2526x^62+1602x^63+757x^64+388x^65+211x^66+100x^67+43x^68+28x^69+30x^70+20x^71+11x^72+4x^73+10x^74+2x^75+1x^78

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.