The generator matrix

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

generates a code of length 77 over Z16 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+110x^71+674x^72+1278x^73+1655x^74+1916x^75+2098x^76+1964x^77+1676x^78+1590x^79+1197x^80+926x^81+620x^82+316x^83+191x^84+56x^85+56x^86+32x^87+11x^88+9x^90+4x^91+3x^92+1x^96

The gray image is a code over GF(2) with n=616, k=14 and d=284.
This code was found by Heurico 1.16 in 3.2 seconds.