The generator matrix

 1  0  0  1  1  1  8 12  1  1  1  0  1 14  1 12 12  1  2  1  1  6 10  1  1  8  8  1  1 14  1  6  6  1  1  1 12  2  1  1  1  1  1  6 14  1  1  8 10  1  1  6 14 12  8  1  1  1  1  2  0  1 12  6  1  1  1  6  1 10  1  1  1  1  1  1  1
 0  1  0  0  5  3  1  4 15  6  2  1 11  1  2  1 14 15  1 12  5  4  1  7  2  1  1 11 14  4  0  1  1 13  2  8  1 14  2  1  0  1 10  1  1 11 13 12  6  8 12  1  1  1  1 14  0 13  6  1 14  5  1  8  8  1 10  1 11  1 13  8 13  9  7  0  0
 0  0  1  1  1  0  5  1 11  8  7  7 14  0 13 14  1 13 13 14  6  1 15  9  1  4  5  6 10  1 11  8  1  9  5 12 14  1  4  0  9 14 14  3 11  4 15  1  1  8  8  4  9 15  4 11  0 10 14  2  1 13 15  1  6  3  7 14  6 12  2 11  4  7 11  8  0
 0  0  0  2 10  8 10  2 14  0  6 10  8 12  2  0  6  6 10  4  8  6  0 12  8 14 12  6 10  4  4  2  8  0  4 12 10  4 14  2 14  6 12 10  4  2  8  6  8  6 10 14  6  8  0 12 10  4  0  0  0  4 12 10 10 14  0  2  4 10  2 12  6  2  8 10  0

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

Homogenous weight enumerator: w(x)=1x^0+110x^70+746x^71+1384x^72+2252x^73+2824x^74+3548x^75+4019x^76+4000x^77+3667x^78+3248x^79+2589x^80+1880x^81+1118x^82+712x^83+317x^84+168x^85+49x^86+54x^87+40x^88+20x^89+8x^90+12x^91+2x^92

The gray image is a code over GF(2) with n=616, k=15 and d=280.
This code was found by Heurico 1.16 in 12.4 seconds.