The generator matrix

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

generates a code of length 69 over Z16 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+82x^61+490x^62+1374x^63+2085x^64+3776x^65+5108x^66+7200x^67+8166x^68+8750x^69+8370x^70+7740x^71+5150x^72+3616x^73+1732x^74+914x^75+494x^76+274x^77+98x^78+36x^79+36x^80+8x^81+8x^82+14x^83+4x^84+6x^85+2x^86+2x^87

The gray image is a code over GF(2) with n=552, k=16 and d=244.
This code was found by Heurico 1.16 in 42.9 seconds.