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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  4  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  2  1  4  1
 0  2 12  6  0  6 12 10  0 10 12  6  0  6 12 10  8 14  4 10  0  6 12 10  8 14 10 12  0  6  2  4  6  0  8 10  8  0  6  6 14 12  4 14 10  2 12  4  0  2  0 12  2 10  0  4 12 10  2  0  8  8 10  2 12 10 10  4  8  6  8 10  2  6 10 12  6
 0  0  8  0  0  0  0  0  0  0  8  0  8  0  8  0  8  0  0  0  8  8  0  8  0  8  8  8  0  8  0  0  8  8  8  0  8  0  8  8  0  0  0  0  0  0  8  8  0  8  0  8  8  0  8  8  0  8  8  8  8  0  8  8  0  0  8  0  0  8  8  8  8  0  0  0  0
 0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  8  0  8  8  8  8  0  0  0  8  0  8  0  8  8  8  0  0  0  0  0  8  8  0  8  8  8  0  0  8  0  0  0  8  8  8  0  0  0  8  0  8  0  8  0  8  8  8  0  0  0  0  8  0  8  8  0  0  0  8  0
 0  0  0  0  8  0  0  0  8  0  0  0  8  8  8  8  0  8  8  8  0  0  8  8  0  0  8  0  8  8  8  8  0  8  0  8  8  0  0  8  0  8  8  8  8  0  8  8  0  8  0  0  0  8  0  8  0  0  8  8  0  0  8  8  0  0  0  0  0  0  8  0  8  0  0  8  8
 0  0  0  0  0  8  0  0  0  8  0  0  8  8  8  8  8  0  8  0  0  8  8  8  8  8  8  0  8  0  0  8  0  8  8  0  8  8  0  0  8  0  0  8  8  8  0  0  8  0  0  8  0  0  8  0  0  0  0  0  8  0  8  8  0  0  8  0  8  8  8  0  0  0  8  0  0
 0  0  0  0  0  0  8  8  8  8  8  8  0  8  8  0  0  0  0  8  0  0  0  8  8  8  0  8  8  0  0  8  8  8  0  8  0  0  0  0  8  0  8  8  0  0  0  8  0  8  8  8  0  0  8  0  0  8  8  8  8  0  0  8  0  0  0  0  8  8  0  0  0  8  0  8  8

generates a code of length 77 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+45x^70+116x^71+137x^72+92x^73+265x^74+176x^75+1035x^76+480x^77+871x^78+430x^79+73x^80+84x^81+99x^82+74x^83+33x^84+40x^85+30x^87+8x^89+6x^91+1x^144

The gray image is a code over GF(2) with n=616, k=12 and d=280.
This code was found by Heurico 1.16 in 2.88 seconds.