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

generates a code of length 70 over Z16 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+106x^61+313x^62+476x^63+728x^64+1148x^65+1699x^66+2728x^67+3205x^68+3748x^69+4488x^70+3948x^71+3382x^72+2456x^73+1558x^74+1170x^75+676x^76+432x^77+217x^78+110x^79+57x^80+34x^81+39x^82+14x^83+14x^84+10x^85+6x^86+2x^87+2x^89+1x^100

The gray image is a code over GF(2) with n=560, k=15 and d=244.
This code was found by Heurico 1.16 in 45.6 seconds.