The generator matrix

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

generates a code of length 61 over Z16 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+52x^53+251x^54+1046x^55+1848x^56+3970x^57+4392x^58+8036x^59+7705x^60+10620x^61+8297x^62+8400x^63+4213x^64+3596x^65+1570x^66+912x^67+288x^68+184x^69+63x^70+34x^71+18x^72+10x^73+14x^74+4x^75+7x^76+5x^78

The gray image is a code over GF(2) with n=488, k=16 and d=212.
This code was found by Heurico 1.16 in 36.1 seconds.