The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+126x^70+702x^71+1239x^72+1590x^73+1977x^74+2214x^75+1778x^76+1880x^77+1409x^78+1190x^79+959x^80+644x^81+329x^82+142x^83+58x^84+72x^85+43x^86+4x^87+13x^88+6x^89+2x^90+4x^91+2x^94

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 3.16 seconds.