The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  1  1  1  1  1  2  1 12  1  1  1  1  1  2  0  1  1  1  1 12  2  0  2 12  1  1  1  1  2  1  2  1  1  1  1  1  2
 0  2 12  6  0  6 12 10  0  6 12 10  4 10  0  8  6 14  6  2 10 12 12  6  0 10 10  0  2 12  4 10 10  8  6  2  6  0  8  8  2 10  2  6  2  0 10  8  2 10  2  6  2  6 12 14 12  0
 0  0  8  0  0  0  0  0  0  0  8  0  0  0  8  8  8  8  0  8  0  0  8  8  8  0  0  0  8  8  0  0  8  8  0  0  8  8  8  8  0  8  8  8  0  8  8  0  8  8  0  0  8  0  0  0  0  0
 0  0  0  8  0  0  0  0  0  8  8  0  8  0  8  8  0  0  8  8  0  0  8  8  0  8  8  0  0  0  8  0  0  0  8  0  8  0  8  0  8  0  8  8  8  8  0  0  8  0  0  8  8  0  0  8  8  8
 0  0  0  0  8  0  0  0  8  0  0  0  0  0  8  8  0  0  0  0  8  8  8  0  0  8  8  0  8  0  0  8  8  8  8  8  0  8  0  8  0  8  0  0  8  8  8  0  8  0  0  8  0  8  8  8  8  8
 0  0  0  0  0  8  0  0  0  8  0  8  0  8  8  8  8  0  0  0  0  0  0  8  8  8  8  8  8  0  0  0  0  8  8  0  8  0  0  8  0  0  0  8  8  0  0  8  8  0  8  0  8  8  8  8  8  8
 0  0  0  0  0  0  8  0  8  0  8  8  0  8  0  8  8  8  8  0  8  0  8  0  8  0  8  8  0  8  0  0  0  8  0  8  8  0  8  8  0  8  0  0  8  0  8  0  0  0  0  0  0  0  8  8  8  0
 0  0  0  0  0  0  0  8  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  0  0  8  0  0  0  8  8  0  8  0  0  8  0  8  8  8  8  0  0  8  8  8  8  0  8  0  8  0  8  8  8  8  8  0

generates a code of length 58 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+75x^50+24x^51+189x^52+136x^53+427x^54+600x^55+722x^56+1544x^57+832x^58+1544x^59+668x^60+600x^61+390x^62+136x^63+187x^64+24x^65+57x^66+15x^68+5x^70+9x^72+4x^74+2x^78+1x^88

The gray image is a code over GF(2) with n=464, k=13 and d=200.
This code was found by Heurico 1.16 in 1.41 seconds.