The generator matrix

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

generates a code of length 56 over Z16 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+688x^53+584x^54+876x^55+374x^56+532x^57+340x^58+360x^59+68x^60+160x^61+36x^62+60x^63+3x^64+12x^65+2x^72

The gray image is a code over GF(2) with n=448, k=12 and d=212.
This code was found by Heurico 1.16 in 89.1 seconds.