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

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

Homogenous weight enumerator: w(x)=1x^0+131x^60+44x^61+512x^62+236x^63+990x^64+960x^65+1868x^66+2120x^67+3574x^68+3808x^69+4422x^70+3732x^71+3572x^72+2308x^73+1786x^74+832x^75+948x^76+236x^77+322x^78+56x^79+179x^80+4x^81+76x^82+35x^84+4x^86+9x^88+2x^90+1x^96

The gray image is a code over GF(2) with n=560, k=15 and d=240.
This code was found by Heurico 1.16 in 24.7 seconds.