The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+64x^53+277x^54+440x^55+534x^56+530x^57+482x^58+546x^59+487x^60+372x^61+219x^62+84x^63+27x^64+10x^65+12x^66+2x^67+3x^68+4x^72+2x^78

The gray image is a code over GF(2) with n=464, k=12 and d=212.
This code was found by Heurico 1.16 in 0.332 seconds.