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  1  8  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  0  1  1  1  2  2  4
 0  2  0  2  8  0 10  2  4  6  4 14  4 14 12 14  0  8 10 14 10  0  4  2 10 12  6  0  4 14  4 14 10  8  2  2 12  6  4  6 12  2  6  4  4  8 14  6  2  0 12 10 12  8  8  2 12  6 10  0 12  2  8  8  8 10  8 14  2 14  2
 0  0  2  2  4  6  6  4  4 14  2 12  6 10  0  8  0  2 14  4  2 12 10  4  8  4 10 14 14 14  8  8  0  2 12  6  8  8  0  8 10 10  2  4 10 10 10 12  2  4  4  4 14 14  0 12 12  6  6  8 14  2  4 14  8  0  0  6 12 10 12
 0  0  0  8  8  8  0  8  0  8  8  0  0  0  8  8  8  8  8  8  0  0  0  0  8  8  8  0  8  0  0  0  0  0  0  0  0  8  8  0  0  8  0  8  8  8  8  0  0  8  0  8  0  8  0  0  8  8  8  0  8  0  0  0  0  8  8  0  8  8  8

generates a code of length 71 over Z16 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+148x^67+97x^68+480x^69+64x^70+604x^71+89x^72+336x^73+148x^75+3x^76+40x^77+28x^79+1x^80+8x^81+1x^128

The gray image is a code over GF(2) with n=568, k=11 and d=268.
This code was found by Heurico 1.16 in 92.9 seconds.