The generator matrix

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

generates a code of length 69 over Z16 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+200x^63+713x^64+1018x^65+1407x^66+1920x^67+2251x^68+2004x^69+1975x^70+1670x^71+1459x^72+704x^73+454x^74+280x^75+127x^76+84x^77+50x^78+38x^79+8x^80+14x^81+4x^83+1x^86+1x^88+1x^90

The gray image is a code over GF(2) with n=552, k=14 and d=252.
This code was found by Heurico 1.16 in 3.53 seconds.