The generator matrix

 1  0  0  1  1  1  4 12  1  1  8  1  1 10  8 14  2  1  1  1  1  1  1 12  1 12  1  0 12 10 14  1  1  1  1  1  1  1  1  0  1  1  1 10  1  1 14  1  1  0  1  1  1  4  1  1  2  1
 0  1  0  0 13 11  1  1  7  1  1 14 10  8  1  2  1 13 15 12  4  7 10  1 13  6 10  1  0  1 12  1 12  4  4 15 11  6  3  1  9 11  6  1  2  9  2 11 14  1 12  6 12  1 13  7  4  8
 0  0  1  1 13  4  7  4  5  0  5  6 15  1  6  1 13  3 14  1 12  1  6  5  2  1 15  2  1  3  1 11 10 11  0  0  9 11  6 13 12  9  0  3  9  9  1  3  9  4 14 13  3  8  6  9 12  0
 0  0  0  2 10  0  8 10  4 14  6 10  0 14  0 10  8 12  6 12  2 14  8  0  8  4 14  2 10  2 12 14 10  6 12  2  8  4 12  8 10 14  2  6  4  4  2  8  2 14  0 12  8 12 14  2  2 10
 0  0  0  0  8  8  8  8  8  8  8  0  0  0  8  0  8  8  8  8  8  0  8  0  0  8  8  0  8  0  0  0  8  0  8  0  0  0  8  8  0  8  8  0  8  0  8  0  0  8  0  0  8  8  0  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+200x^51+946x^52+2020x^53+3291x^54+5386x^55+7321x^56+9012x^57+9451x^58+8936x^59+7471x^60+5360x^61+3029x^62+1692x^63+813x^64+320x^65+158x^66+72x^67+21x^68+20x^69+6x^70+2x^71+3x^72+4x^73+1x^74

The gray image is a code over GF(2) with n=464, k=16 and d=204.
This code was found by Heurico 1.16 in 33.8 seconds.