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  1  2  2  1  2  1  1  1  1  1  2  1  2  4  1  2  8  1  1  2  2  1  1  4  1  1  1  2  2  4  1  1  4  1  2  4  8  4  1
 0 12  0  0  0  4 12  4  8  0  4  0  8  4  4  4  4  8  8  0  0 12  4  4 12  0  0 12  4  4  8  0  0 12 12 12  8  0 12 12  8  8  0 12  0  8  8  4  4  4  8 12 12 12 12  0  8 12  8  4  4 12  8 12  4  4 12  4  4  8
 0  0 12  0  4  4 12  0  0  4  8  0 12 12  8  4  4  0  8 12 12 12  0  4  0  8  8  8  0  4  4  4 12  0 12 12  4  8  4 12  8 12 12  0  4  0 12  8  4  0  0  0  0  4  8  8  8  4  4 12  0  0  4  0 12  4  4 12  4  8
 0  0  0 12  4  0 12  4  4  8  0  8  4  4  4  8  8  4  0  0  4 12  8  4  4 12  0  4  0  8  0 12  0  8  8 12  8  8  4  4  8 12  0  0 12  4 12 12 12  4  4  0  8  0  0  0 12 12  4  0 12  4  8  0 12  8 12  8  8  8
 0  0  0  0  8  0  0  8  0  8  8  0  0  0  0  8  0  0  0  0  8  8  8  0  8  8  8  8  8  8  8  0  0  0  8  8  0  8  8  0  8  8  0  8  0  8  8  0  8  0  0  8  0  0  8  8  0  8  8  8  8  0  8  0  8  8  0  0  0  0
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  8  0  8  8  8  0  0  8  8  8  8  8  0  0  0  0  8  0  0  8  8  0  0  8  8  8  8  8  0  0  0  0  0  8  0  8  8  8  0  0  0  0  0  0  8  0  0  0  0  8  8  8  8  0  0
 0  0  0  0  0  0  8  0  8  8  8  0  0  0  0  0  0  0  8  8  8  0  8  0  8  8  0  0  0  0  0  8  8  8  8  8  8  8  0  8  8  8  0  0  8  0  8  8  8  8  8  8  8  8  8  0  8  8  0  8  8  8  8  0  8  8  0  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+54x^61+94x^62+120x^63+187x^64+270x^65+352x^66+662x^67+788x^68+1032x^69+1291x^70+930x^71+875x^72+566x^73+258x^74+262x^75+88x^76+88x^77+80x^78+62x^79+38x^80+36x^81+30x^82+12x^83+4x^84+2x^85+6x^86+3x^88+1x^102

The gray image is a code over GF(2) with n=560, k=13 and d=244.
This code was found by Heurico 1.16 in 2.19 seconds.