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

generates a code of length 71 over Z16 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+90x^61+318x^62+750x^63+1007x^64+1856x^65+2176x^66+3910x^67+4675x^68+6546x^69+7217x^70+8506x^71+7216x^72+6812x^73+4650x^74+3770x^75+2224x^76+1630x^77+800x^78+676x^79+342x^80+204x^81+62x^82+48x^83+21x^84+14x^85+7x^86+4x^87+2x^88+2x^94

The gray image is a code over GF(2) with n=568, k=16 and d=244.
This code was found by Heurico 1.16 in 77.8 seconds.