The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  6  1  1  1  1 12 10  1  1  1  0  6  1  1  1 10  0  1  1  1  1  1  6  1 12  1  1  1  1  1 10  1  1  1  1  6 10  1  6  1  1  6  1  1
 0  1  3  6  5  1 12  7  1 10  9  1  0  3  1  1  6  5 10 15  1  1 12  9  0  1  1  3  6  5  1  1 15 10 12 10  3  1  9  1  5  9  6  3  0  1 15  5  6 10  1  1  3  1  0 12  1  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  8  8  0  0  0  8  8  8  8  8  0  8  0  0  0  0  8  8  8  8  0  0  8  0  0  0  0  0  0  8  0  8  0  8  8  0  0
 0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  0  8  0  8  8  0  8  8  0  0  8  0  0  0  8  0  8  8  0  0  8  0  0  8  8  8  0  8  0  0  8  0  8  8  0  8  0  0  8  8  8  8  8  0
 0  0  0  0  8  0  0  0  0  8  8  8  0  8  0  8  8  0  0  0  8  8  0  8  8  0  0  8  8  8  8  8  8  0  8  0  0  8  0  8  0  0  8  0  0  8  0  0  0  0  8  0  0  8  0  8  0  0  0
 0  0  0  0  0  8  0  0  8  8  0  8  0  0  0  0  0  8  8  8  8  8  8  8  0  0  8  8  8  8  0  8  0  0  0  8  0  8  0  0  8  0  0  0  8  0  8  8  8  8  0  8  8  8  8  0  0  0  0
 0  0  0  0  0  0  8  0  8  0  0  8  8  0  0  8  8  0  8  0  0  0  8  8  8  0  8  0  8  8  0  0  0  0  8  8  8  0  8  8  0  8  8  0  0  0  0  8  8  0  0  8  8  8  0  8  0  0  0
 0  0  0  0  0  0  0  8  8  8  8  0  0  0  8  8  0  8  8  0  0  8  0  8  0  0  0  8  0  8  8  0  0  0  8  8  8  0  0  0  8  8  8  0  0  8  0  8  0  8  0  0  8  0  8  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+29x^50+8x^51+144x^52+112x^53+553x^54+544x^55+1486x^56+1552x^57+2671x^58+2224x^59+2661x^60+1552x^61+1474x^62+544x^63+534x^64+112x^65+128x^66+8x^67+22x^68+5x^70+8x^72+3x^74+5x^76+3x^80+1x^82

The gray image is a code over GF(2) with n=472, k=14 and d=200.
This code was found by Heurico 1.16 in 3.16 seconds.