The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+356x^70+608x^71+1186x^72+1380x^73+2090x^74+1628x^75+2217x^76+1784x^77+1886x^78+1156x^79+1046x^80+480x^81+258x^82+60x^83+115x^84+32x^85+38x^86+36x^87+8x^88+4x^89+12x^90+2x^96+1x^104

The gray image is a code over GF(2) with n=608, k=14 and d=280.
This code was found by Heurico 1.16 in 4.01 seconds.