The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  8  2  1  0  1  1  1  2  2  1  1  1  4  2  1  2  2  1 12  1 12  2  1  1  1  1  2  2  8  1  2 12  8  0  8  1  2  1
 0  2  0  6  4  6 12  2  8  6 12 14  0  2  4 10  2  0 14  0  6  2  0  2 14  4  2 14 10  2  2 10  4 14  4  2 14  8 14 10  6  2  4  2  2  2  4 12 14  8 10  2 14 12  2  4  4  0  2 12 14
 0  0 12  0  4  0  0  0  8  4  4  4  4  4  0  4  0  4 12  8  4 12  4  4  4  0  8  8 12  0 12  4  4  8  0  0  8  8  0  8  0  4 12  8 12 12  0  8 12  8  0  0  8  8  8  4  4  4 12  4  8
 0  0  0 12  0  0  0  4 12  4 12  8  4  8 12  4  8  8  0  0  4 12  4  0  8 12  0 12 12 12  8  4  8  4  8 12  4 12 12  8  8 12  0  8  4  8 12 12  8 12  0 12  0 12  8  0  4  4  4  0  4
 0  0  0  0  8  0  0  0  0  0  0  0  8  8  8  0  8  8  8  8  0  8  8  0  8  0  0  8  0  8  8  8  0  0  8  0  8  8  0  0  0  8  0  0  0  8  8  0  0  8  8  0  8  0  8  0  0  0  0  0  8
 0  0  0  0  0  8  0  0  0  0  0  0  0  0  0  8  8  0  8  8  0  8  8  0  0  8  8  8  0  8  0  8  8  8  8  0  0  8  8  8  8  0  8  0  8  0  0  8  8  8  8  8  0  0  0  8  8  8  8  0  8
 0  0  0  0  0  0  8  0  0  0  0  0  8  0  8  0  0  8  0  8  8  8  0  0  0  8  0  0  8  8  0  8  8  8  8  0  8  0  8  8  0  0  8  8  0  8  0  8  0  8  0  0  8  0  0  8  0  8  8  8  0
 0  0  0  0  0  0  0  8  0  0  0  0  0  8  8  8  8  0  8  8  8  0  0  8  0  0  0  0  0  0  8  8  8  0  0  8  8  8  8  0  8  0  0  8  8  0  8  8  0  0  0  8  8  8  0  8  0  8  0  0  0

generates a code of length 61 over Z16 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+56x^51+184x^52+270x^53+388x^54+586x^55+1347x^56+1344x^57+3216x^58+2418x^59+5131x^60+2994x^61+5163x^62+2454x^63+3217x^64+1278x^65+1199x^66+518x^67+440x^68+232x^69+116x^70+104x^71+33x^72+26x^73+24x^74+8x^75+13x^76+5x^78+2x^80+1x^82

The gray image is a code over GF(2) with n=488, k=15 and d=204.
This code was found by Heurico 1.16 in 41.6 seconds.