The generator matrix

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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+187x^54+590x^55+636x^56+550x^57+462x^58+440x^59+502x^60+344x^61+217x^62+82x^63+28x^64+34x^65+8x^66+8x^67+4x^70+1x^72+2x^78

The gray image is a code over GF(2) with n=464, k=12 and d=216.
This code was found by Heurico 1.16 in 0.302 seconds.