The generator matrix

 1  0  0  1  1  1 10 14  1  6  1  1  1 12  1  1  4  1  1  0  6 10  1  1  1  1  2 12  1  1  1  1 10  1 12 14  8  6  1  1  1  2  1  6  8  1  1 14  1  1  6 10  1  1  1  6  4  1 10  2  4  8  1  2  1  1 14  4  1
 0  1  0  0  5  5  1  8  0  1  7  6 11  1 10 10  1  9 11  2  1 10 14 15  9  4  1  1 15  4 12  4  2  1  1  1  1  1  4  1  7  1 13  1  1 13 15  1 13 12  1 10  7 11 14  1  0  7  4 14  1  2 10  1 14 14  1 14  0
 0  0  1 11  7  0  7  1 14  2  7  3  0  5  5  4 10 14  1  1  1  1  2  2  5  9  8  1 11  1 10 15  1  2 10  6 15 15  0  3  9  2  8 12 14 11  7  7  6  3  9  1  4  9  2  1  1 14  1  1 15  1  4  8  1 14  2  1  0
 0  0  0 12  4  8 12 12  4  4  0  0  4  8  8 12  0  0  8  4 12 12  0  4 12  4  4  0  4  8  0  8  0 12  4  8  0  4  0  8 12  8 12  0 12 12  8  0  8  4  0  8 12  8  4 12  0  0  8 12 12 12  0  8  4 12  4  4  8
 0  0  0  0  8  0  0  0  0  0  8  0  0  8  8  8  8  8  0  8  8  0  8  0  0  8  8  0  8  8  0  0  8  8  8  0  0  8  8  0  0  8  0  0  8  8  8  0  0  8  8  0  8  8  0  0  8  0  0  8  0  0  0  8  8  8  8  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+498x^63+1376x^64+1724x^65+3216x^66+3400x^67+4332x^68+4166x^69+4153x^70+3180x^71+3159x^72+1450x^73+976x^74+542x^75+301x^76+106x^77+53x^78+26x^79+12x^80+10x^81+8x^82+3x^84+3x^86+2x^91

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 11.2 seconds.