The generator matrix

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

generates a code of length 79 over Z16 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+106x^71+399x^72+712x^73+1308x^74+1986x^75+2796x^76+3506x^77+3745x^78+4032x^79+3784x^80+3386x^81+2721x^82+1728x^83+1137x^84+694x^85+363x^86+146x^87+77x^88+38x^89+23x^90+22x^91+23x^92+16x^93+12x^95+6x^96+1x^104

The gray image is a code over GF(2) with n=632, k=15 and d=284.
This code was found by Heurico 1.16 in 17 seconds.