The generator matrix

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

generates a code of length 62 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+421x^56+1004x^57+2090x^58+2736x^59+3634x^60+4452x^61+4834x^62+4012x^63+3603x^64+2564x^65+1686x^66+912x^67+479x^68+164x^69+80x^70+20x^71+46x^72+8x^73+12x^74+7x^76+2x^78+1x^80

The gray image is a code over GF(2) with n=496, k=15 and d=224.
This code was found by Heurico 1.16 in 17.6 seconds.