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

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

Homogenous weight enumerator: w(x)=1x^0+97x^70+176x^71+433x^72+412x^73+864x^74+772x^75+1025x^76+968x^77+1015x^78+772x^79+591x^80+276x^81+325x^82+96x^83+155x^84+64x^85+60x^86+36x^87+34x^88+8x^89+7x^90+4x^91+1x^112

The gray image is a code over GF(2) with n=616, k=13 and d=280.
This code was found by Heurico 1.16 in 1.86 seconds.