The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+108x^66+236x^67+576x^68+362x^69+664x^70+296x^71+732x^72+276x^73+471x^74+176x^75+103x^76+46x^77+15x^78+12x^79+7x^80+4x^81+4x^82+4x^88+1x^90+1x^92+1x^94

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 0.441 seconds.