The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+110x^66+316x^67+435x^68+532x^69+455x^70+442x^71+599x^72+452x^73+307x^74+236x^75+107x^76+56x^77+20x^78+8x^79+6x^80+4x^83+3x^84+3x^86+2x^87+1x^92+1x^98

The gray image is a code over GF(2) with n=568, k=12 and d=264.
This code was found by Heurico 1.16 in 0.516 seconds.