The generator matrix

 1  0  0  1  1  1 10  2  1  1  1  1 10  4  6  1  1  6  1  1  0  1  1  2  1  1 12 12  1 14 12  1  1  1 14  1 14  1 14  1 10 10 12  4  1 12  1  1  6 10  1  2  1  2  1  1  0  2 14 12  1  1  8  6  1  1  1  1  1
 0  1  0  4  5  1  1  2  5  9  4  8  0  1  1  7 14  1 11  2  1  3  3  1 10  8  1  0 14  1 14 11 14  5  1 10 12  6  1 11  1  2 10  1 12  1 12 13 12 14 15  1  0  1  2 15  0  1  1  1  1 11  1  1 12 14  6  4  0
 0  0  1  7  3  4  3  1  5 10  1 14  1  2  5  2  1 14  7  4 15 13  8  4 14  5  9  1  4  7  1  6  3 15  9  2  1  7  7 15 10  1  1 13  0  0  3  9  1  1  8  8 12  8  5  5  1 14 14  9  3 10  8 13  0 11  5  9  8
 0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  0  0  8  0  8  0  8  8  0  8  0  8  8  0  0  0  0  8  8  8  0  0  8  0  8  8  8  8  0  8  8  8  8  8  8  0  8  0  8  0  0  8  0  0  8  0  0  0  8  8  8  8  8
 0  0  0  0  8  0  8  8  0  8  0  0  0  8  0  8  8  8  8  8  0  8  0  0  0  8  8  8  8  0  0  8  0  0  8  0  8  8  8  0  8  8  0  8  8  0  8  0  8  0  8  0  0  8  0  0  8  0  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 63.

Homogenous weight enumerator: w(x)=1x^0+58x^63+610x^64+1060x^65+1778x^66+1804x^67+2212x^68+1984x^69+2269x^70+1522x^71+1334x^72+582x^73+522x^74+288x^75+185x^76+84x^77+33x^78+40x^79+9x^80+2x^81+6x^82+1x^84

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 2.76 seconds.