The generator matrix

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

generates a code of length 71 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+48x^60+80x^61+185x^62+304x^63+589x^64+1110x^65+1829x^66+3236x^67+5105x^68+7050x^69+8669x^70+9262x^71+8675x^72+7060x^73+5101x^74+3256x^75+1756x^76+984x^77+509x^78+280x^79+178x^80+78x^81+67x^82+44x^83+19x^84+22x^85+19x^86+2x^87+13x^88+3x^90+2x^94

The gray image is a code over GF(2) with n=568, k=16 and d=240.
This code was found by Heurico 1.16 in 59.7 seconds.