The generator matrix

 1  0  1  1  1 14  1  1  0 14  1  1  1  0  1  2  1  1  1  8  1  1  1  8  1  6  1 10  1  1  1  1 12  1  1  0 14  1  1  1  1 12  2  1  1  1  1  6  1  1  0  1  1  1  6  2  1  8
 0  1 11  6  1  1  8  3  1  1 14  9  6  1  3  1 13  0  3  1  8 10  9  1 15  1 14  1 12 13 11  6  1 10 11  1  1 11  9  2  8  1  1  4  7  8  9  1  6 11  1 12 13  2  1  1 12  1
 0  0 12  0  0  0  0  8 12  4  4  4 12 12  0  4  8  8 12  8  4  4  4  0  0  4  0  8  4 12  0  8  0 12 12 12  8  4  8 12  0  4  8  0  4 12 12  8  0  8  4  4 12  0  0  4  4  4
 0  0  0 12  0  0  8  8  8  8  0  8  8 12 12 12 12 12 12 12 12 12  4  4  4  8  0  0 12  0  4  4 12  0 12  4 12  4  0 12  8  8  4 12  0  8  8  4  4  0  4  0  8  4  8  8  0  0
 0  0  0  0  4 12 12  8  4  0  0  4  4  8 12  4  0  4 12  4 12  8  0  0  4 12 12  0  8  8  0 12  4 12  8  8 12 12  8  4  8  0  0  8 12  0  8  4 12 12  0  8 12  0  8  8  4  0

generates a code of length 58 over Z16 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+42x^51+223x^52+266x^53+996x^54+1228x^55+2096x^56+2094x^57+2632x^58+2078x^59+2072x^60+1170x^61+968x^62+210x^63+188x^64+30x^65+8x^66+20x^67+23x^68+20x^69+4x^70+2x^71+2x^72+4x^73+4x^75+2x^76+1x^80

The gray image is a code over GF(2) with n=464, k=14 and d=204.
This code was found by Heurico 1.16 in 3.21 seconds.