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

generates a code of length 70 over Z16 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+60x^63+119x^64+122x^65+112x^66+146x^67+237x^68+730x^69+1173x^70+728x^71+201x^72+112x^73+101x^74+64x^75+47x^76+28x^77+15x^78+20x^79+27x^80+30x^81+6x^82+6x^83+8x^84+2x^85+1x^114

The gray image is a code over GF(2) with n=560, k=12 and d=252.
This code was found by Heurico 1.16 in 60.8 seconds.