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  1  1  1  1  1  1  1  1  2  2  1  1  1  1  2  4  1  1  1  1  1  0  2  1  4  0  4  1  1  1  2  1  4  2
 0 12  0 12  0 12  0 12  8  4  0 12  0 12  4  0  0  8 12 12  4 12  8  8  4  4 12  4  0  0  8  8 12 12  0  0  0  0 12 12  8  8  0  8  0  4 12 12 12  4 12  8 12  4 12  4  8  0
 0  0  8  0  0  0  0  0  8  0  0  0  8  8  8  8  8  8  0  0  0  8  8  8  8  8  8  0  0  8  8  0  0  0  0  0  8  8  0  8  8  8  0  8  8  0  0  8  8  8  0  0  0  0  0  8  0  0
 0  0  0  8  0  0  0  0  0  8  0  8  0  8  0  8  8  8  0  0  8  0  8  0  0  8  0  0  0  8  8  0  0  8  0  8  8  0  8  8  0  0  8  0  8  8  0  8  8  8  8  8  0  0  8  8  0  8
 0  0  0  0  8  0  0  0  0  0  8  0  0  0  0  8  8  0  8  8  8  8  0  0  8  8  8  8  0  0  0  0  0  8  0  8  0  8  0  8  0  0  8  8  8  8  0  0  8  8  0  8  0  8  8  0  8  8
 0  0  0  0  0  8  0  0  0  0  0  8  0  8  8  0  0  0  8  0  8  0  0  0  8  8  0  0  8  8  8  8  0  0  8  0  8  0  0  0  8  8  0  0  8  8  8  8  0  8  0  8  8  8  0  8  8  0
 0  0  0  0  0  0  8  0  8  0  8  8  0  8  0  8  0  8  0  8  8  0  0  8  0  8  0  8  8  8  8  8  0  0  0  8  0  8  8  0  8  0  8  8  0  0  0  0  0  8  8  8  8  8  8  8  0  0
 0  0  0  0  0  0  0  8  0  8  8  8  8  0  8  8  0  8  0  0  0  8  8  8  0  0  0  8  0  8  0  8  0  0  8  8  8  0  8  0  8  0  0  8  0  8  8  8  8  8  0  8  0  8  0  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+64x^50+160x^52+200x^54+128x^55+661x^56+384x^57+955x^58+384x^59+593x^60+128x^61+259x^62+95x^64+44x^66+14x^68+12x^70+11x^72+1x^74+1x^78+1x^92

The gray image is a code over GF(2) with n=464, k=12 and d=200.
This code was found by Heurico 1.16 in 0.953 seconds.