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

generates a code of length 70 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+108x^60+348x^61+634x^62+1012x^63+1707x^64+2412x^65+3597x^66+4210x^67+6948x^68+7366x^69+8747x^70+7254x^71+7234x^72+4624x^73+3569x^74+2236x^75+1443x^76+804x^77+588x^78+364x^79+165x^80+60x^81+45x^82+26x^83+21x^84+2x^85+3x^86+2x^87+5x^88+1x^90

The gray image is a code over GF(2) with n=560, k=16 and d=240.
This code was found by Heurico 1.16 in 77.5 seconds.