The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+114x^70+270x^71+747x^72+1044x^73+1472x^74+1804x^75+1907x^76+2098x^77+1821x^78+1806x^79+1250x^80+778x^81+613x^82+264x^83+155x^84+104x^85+62x^86+16x^87+26x^88+6x^89+10x^90+10x^92+2x^93+2x^94+1x^102+1x^106

The gray image is a code over GF(2) with n=616, k=14 and d=280.
This code was found by Heurico 1.16 in 4.41 seconds.