The generator matrix

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

generates a code of length 61 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+618x^54+1998x^55+4133x^56+7398x^57+10545x^58+13910x^59+17485x^60+18992x^61+17224x^62+14622x^63+10698x^64+6876x^65+3750x^66+1718x^67+708x^68+232x^69+83x^70+36x^71+30x^72+6x^73+3x^74+4x^75+1x^76+1x^78

The gray image is a code over GF(2) with n=488, k=17 and d=216.
This code was found by Heurico 1.16 in 149 seconds.