The generator matrix

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

generates a code of length 63 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+666x^56+2192x^57+4458x^58+7180x^59+10886x^60+13660x^61+17628x^62+17684x^63+17422x^64+14340x^65+11338x^66+6928x^67+3672x^68+1720x^69+796x^70+260x^71+178x^72+20x^73+16x^74+12x^75+6x^76+4x^77+4x^78+1x^80

The gray image is a code over GF(2) with n=504, k=17 and d=224.
This code was found by Heurico 1.16 in 319 seconds.