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

generates a code of length 71 over Z16 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+32x^65+51x^66+48x^67+48x^68+170x^69+70x^70+1184x^71+232x^72+36x^73+63x^74+24x^75+22x^76+26x^77+8x^78+8x^79+16x^80+8x^81+1x^136

The gray image is a code over GF(2) with n=568, k=11 and d=260.
This code was found by Heurico 1.16 in 0.45 seconds.