The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+81x^62+550x^63+1301x^64+2180x^65+2586x^66+3960x^67+3760x^68+4590x^69+3572x^70+3842x^71+2444x^72+1758x^73+986x^74+596x^75+296x^76+132x^77+53x^78+44x^79+22x^80+10x^81+2x^85+2x^86

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 11.8 seconds.