The generator matrix

 1  0  0  1  1  1  8  1  1 10 14  6  1  1  1  1  1  1  8 12  2  1  1  6  1 14  1  2  1  4  6  1  1  1  1  1  0  1  1  1  1  2  1  4  1  1  1  1  4  1  2  1  4  1  1  8  1  2  6  1  1  2  1  1  1 12  1  1  1  6  1
 0  1  0  4 13  5  1 12  9  1  1  6  6  7  2  1 15  6  1 10  1 10  4 12  3  1  7  1 10  6  1 12 13  9 13  2  1  8 15  3 14  1  1  1  0  9  8 15  1  7  1  7  0 11 14  1 13  1  8  3  2 14  1 11  5  4 15  9 14  0  0
 0  0  1  7 15 12  5  2  5  3  4  1 13  2  4 14  9 11  2  1 13  6 13  1 12 10 15 15  3  1  0 11 13  2  7  0  7  1  5 10  6  1  4 14  8  7 10  3 11  8 10 12  1  3 15  7  6  8  1  1  2  1  3 11  9  1  7  6 10  1  0
 0  0  0  8  8  8  0  8  0  8  8  8  0  0  0  8  0  8  8  8  8  8  0  0  0  8  8  0  0  0  0  0  8  0  0  8  8  8  8  8  0  0  8  0  8  8  0  0  0  0  0  8  8  0  0  0  8  8  0  0  8  0  0  8  8  8  0  0  8  8  8

generates a code of length 71 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+122x^66+562x^67+939x^68+1324x^69+1108x^70+966x^71+840x^72+768x^73+520x^74+394x^75+252x^76+212x^77+88x^78+54x^79+30x^80+8x^81+1x^82+1x^84+1x^88+1x^90

The gray image is a code over GF(2) with n=568, k=13 and d=264.
This code was found by Heurico 1.16 in 0.938 seconds.