The generator matrix

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

generates a code of length 61 over Z16 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+100x^55+360x^56+600x^57+636x^58+880x^59+1186x^60+1192x^61+832x^62+876x^63+564x^64+336x^65+214x^66+160x^67+134x^68+48x^69+32x^70+32x^71+6x^74+2x^76+1x^88

The gray image is a code over GF(2) with n=488, k=13 and d=220.
This code was found by Heurico 1.16 in 1.12 seconds.