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

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

Homogenous weight enumerator: w(x)=1x^0+131x^50+8x^51+320x^52+28x^53+446x^54+276x^55+702x^56+1228x^57+2018x^58+1220x^59+719x^60+276x^61+334x^62+28x^63+227x^64+4x^65+121x^66+4x^67+72x^68+20x^70+5x^72+2x^74+1x^76+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 1.73 seconds.