The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+53x^62+520x^63+1170x^64+2118x^65+3040x^66+3456x^67+4152x^68+4246x^69+4301x^70+3326x^71+2594x^72+1742x^73+1039x^74+512x^75+196x^76+146x^77+74x^78+56x^79+11x^80+4x^81+5x^82+4x^84+2x^87

The gray image is a code over GF(2) with n=552, k=15 and d=248.
This code was found by Heurico 1.16 in 10.9 seconds.