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

generates a code of length 71 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+60x^70+128x^71+62x^72+1x^78+1x^80+2x^86+1x^94

The gray image is a code over GF(2) with n=568, k=8 and d=280.
This code was found by Heurico 1.16 in 0.331 seconds.