The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+174x^53+560x^54+1104x^55+1981x^56+3344x^57+5027x^58+7010x^59+8800x^60+9382x^61+8903x^62+7486x^63+5109x^64+3028x^65+1832x^66+914x^67+388x^68+246x^69+112x^70+58x^71+37x^72+12x^73+13x^74+4x^75+4x^76+6x^77+1x^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 44.5 seconds.