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

generates a code of length 76 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+314x^70+164x^71+981x^72+316x^73+1148x^74+596x^75+1572x^76+504x^77+1064x^78+312x^79+552x^80+100x^81+252x^82+44x^83+170x^84+8x^85+70x^86+4x^87+17x^88+2x^92+1x^112

The gray image is a code over GF(2) with n=608, k=13 and d=280.
This code was found by Heurico 1.16 in 1.55 seconds.