The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+92x^63+601x^64+1218x^65+1389x^66+2072x^67+1937x^68+2410x^69+1788x^70+1862x^71+1190x^72+730x^73+461x^74+356x^75+115x^76+70x^77+46x^78+18x^79+16x^80+4x^81+4x^82+3x^84+1x^92

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 2.79 seconds.