The generator matrix

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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+388x^53+968x^54+1734x^55+2021x^56+2330x^57+2272x^58+2074x^59+1662x^60+1300x^61+777x^62+490x^63+192x^64+82x^65+28x^66+38x^67+12x^68+12x^69+1x^70+2x^74

The gray image is a code over GF(2) with n=464, k=14 and d=212.
This code was found by Heurico 1.16 in 2.41 seconds.