The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+86x^55+182x^56+556x^57+682x^58+968x^59+1097x^60+1164x^61+1043x^62+972x^63+642x^64+500x^65+153x^66+82x^67+18x^68+14x^69+8x^70+2x^71+10x^72+4x^73+2x^75+1x^76+2x^77+1x^78+1x^80+1x^82

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 2.99 seconds.