The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+126x^70+584x^71+1248x^72+1814x^73+1833x^74+2078x^75+1887x^76+1954x^77+1566x^78+1164x^79+822x^80+612x^81+324x^82+158x^83+99x^84+58x^85+20x^86+16x^87+5x^88+10x^89+3x^90+2x^92

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 3.18 seconds.