The generator matrix

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

generates a code of length 69 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+56x^60+262x^61+660x^62+1254x^63+2258x^64+3240x^65+5369x^66+6576x^67+8634x^68+8916x^69+8593x^70+6948x^71+5427x^72+3214x^73+2003x^74+958x^75+527x^76+290x^77+184x^78+66x^79+50x^80+14x^81+15x^82+6x^83+7x^84+7x^86+1x^90

The gray image is a code over GF(2) with n=552, k=16 and d=240.
This code was found by Heurico 1.16 in 51.8 seconds.