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

generates a code of length 70 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+37x^62+62x^63+74x^64+112x^65+102x^66+282x^67+327x^68+596x^69+1021x^70+582x^71+307x^72+270x^73+70x^74+72x^75+30x^76+26x^77+37x^78+18x^79+25x^80+18x^81+11x^82+6x^83+3x^84+2x^85+1x^86+2x^87+1x^88+1x^114

The gray image is a code over GF(2) with n=560, k=12 and d=248.
This code was found by Heurico 1.16 in 0.765 seconds.