The generator matrix

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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+284x^53+1036x^54+2002x^55+2770x^56+3976x^57+4033x^58+4756x^59+4558x^60+3584x^61+2454x^62+1774x^63+804x^64+408x^65+165x^66+88x^67+40x^68+20x^69+8x^70+4x^71+3x^72

The gray image is a code over GF(2) with n=472, k=15 and d=212.
This code was found by Heurico 1.16 in 10.2 seconds.