The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+148x^60+56x^61+525x^62+324x^63+1399x^64+1340x^65+3655x^66+4276x^67+8320x^68+7272x^69+10998x^70+7372x^71+8252x^72+4288x^73+3604x^74+1308x^75+1321x^76+352x^77+387x^78+32x^79+164x^80+4x^81+85x^82+34x^84+10x^86+8x^88+1x^92

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 59.5 seconds.