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

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

Homogenous weight enumerator: w(x)=1x^0+44x^65+51x^66+58x^67+116x^68+162x^69+340x^70+520x^71+404x^72+154x^73+42x^74+40x^75+43x^76+22x^77+12x^78+16x^79+11x^80+2x^81+3x^82+6x^83+1x^124

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 0.459 seconds.