The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+26x^50+86x^51+232x^52+116x^53+477x^54+418x^55+1090x^56+922x^57+1527x^58+954x^59+1066x^60+386x^61+456x^62+98x^63+153x^64+46x^65+61x^66+40x^67+14x^68+2x^69+11x^70+4x^71+4x^72+1x^82+1x^90

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 1.33 seconds.