The generator matrix

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

generates a code of length 70 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+123x^64+224x^65+597x^66+780x^67+1036x^68+1006x^69+981x^70+840x^71+942x^72+754x^73+439x^74+190x^75+185x^76+26x^77+22x^78+6x^79+10x^80+6x^81+4x^82+6x^83+6x^84+4x^86+2x^87+1x^92+1x^94

The gray image is a code over GF(2) with n=560, k=13 and d=256.
This code was found by Heurico 1.16 in 1.19 seconds.