The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  1  8  1  1  1  1  1  1  2  1  1  1  1 12  1 12  1  8  1  1  2  1  1  1  1  2  2  1  1 12 12  0  8  2  1  2
 0  2  0  2  0  8 10  2  4  6  4  6  4 14 12  6  4 12  6  2 12  2  6  2 12  6 10  4  2 10  4  4  8  2  0  2  4  2 10  4 14 10  8  8 10  8  0 10  0 12 14  4  2  2  2 10  4  2
 0  0  2  2 12 14  6  4  4 14  2  0  0  2  6 12 10  4  8  8  0  4 14 10 14 12  6  6  2 14 14  0  6  8  8  0  0  6 12  2  6 12  2  8  2  2 10  8  6 14  0  2 14  4 12  6  4  2
 0  0  0  8  0  0  0  8  8  0  8  0  8  8  8  8  8  8  0  8  0  0  8  8  0  0  0  0  0  8  0  8  8  8  8  8  0  0  0  8  8  8  8  0  0  0  8  8  8  8  8  0  8  8  8  8  8  0
 0  0  0  0  8  8  0  0  8  8  8  8  0  8  0  8  0  0  0  8  0  0  0  8  8  8  8  0  0  8  8  8  8  0  0  8  8  0  0  0  8  8  0  8  0  8  0  0  8  8  0  0  0  8  0  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+172x^53+165x^54+512x^55+312x^56+836x^57+437x^58+690x^59+177x^60+378x^61+120x^62+128x^63+45x^64+68x^65+9x^66+30x^67+9x^68+2x^69+4x^70+1x^86

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 0.395 seconds.