The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+420x^53+962x^54+1876x^55+1725x^56+2356x^57+2256x^58+2232x^59+1599x^60+1450x^61+650x^62+472x^63+166x^64+124x^65+48x^66+28x^67+13x^68+2x^69+4x^70

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 5.87 seconds.