The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  8  1 12  2  4  1  1  8  8  1 12 12  1  1  2  1  8  2  1 12  1  0 12  0  1  1  1  1  1  1  1  2  1  1  2  1  1 12  4  1  1
 0  2  0  0  0  2 14  2  4 12 14 10 12 14 12 14  4 14  0  4  2  6 12  8 10 10 10  4  8 10  2 12 12  8  0 12 10  2  2  8  8  2  8 14 12 12  2  6  2  4  2  0  4  2 10  0  8  8  0  0  8  6  2 14  4  0  0  0  0 10  0
 0  0  2  0  2  2 10  8  0  0  2 10  6  4 14  4  8  8  4  2 14  6 14  4  8 12  2 14 14 14  8 14  2 10  4 14 12  2 10  8  2  4 14 14 14 12 10  0  0  2 10  2  8  8  2  2 10  6  0 10  0  4 14  6  4  8  4  2  2  8  0
 0  0  0  2  2  8  2  6 14  4  4 14 14 10 12  4 10 14 12  6 12 10  4 12  4  2 14  0  2  8  4  6 12  8  2  0 12  4 10 10  2  2  6  8 14  6  6 12  8  8 10 12  2 14 12  2 12  0  4  6 14  6  0 14 10  8  8  4 12  6  0
 0  0  0  0  4  0  4 12 12 12 12  8  8  0 12 12 12  0  0  4  0  8  8 12  4  4 12 12 12  0  8  4  0  4 12  4 12  4  0 12  0  4  8  4  8  0  4  4 12  4  8  4  8  0 12  8  8  4  8  4  8  0  0  0  4  4 12 12  0  0  0

generates a code of length 71 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+69x^62+306x^63+603x^64+786x^65+1295x^66+1726x^67+2524x^68+3020x^69+4281x^70+3826x^71+4187x^72+3014x^73+2681x^74+1578x^75+1023x^76+712x^77+490x^78+260x^79+193x^80+108x^81+46x^82+10x^83+12x^84+8x^85+4x^87+2x^90+2x^91+1x^100

The gray image is a code over GF(2) with n=568, k=15 and d=248.
This code was found by Heurico 1.16 in 20.8 seconds.