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

generates a code of length 69 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+71x^62+210x^63+364x^64+468x^65+772x^66+774x^67+1137x^68+868x^69+1195x^70+626x^71+619x^72+368x^73+291x^74+154x^75+95x^76+76x^77+34x^78+28x^79+20x^80+12x^81+4x^82+4x^84+1x^98

The gray image is a code over GF(2) with n=552, k=13 and d=248.
This code was found by Heurico 1.16 in 1.49 seconds.