The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+94x^71+708x^72+1500x^73+2621x^74+3864x^75+5698x^76+6416x^77+8190x^78+7786x^79+8475x^80+6488x^81+5284x^82+3348x^83+2394x^84+1270x^85+719x^86+360x^87+149x^88+76x^89+49x^90+16x^91+14x^92+8x^93+1x^94+4x^95+1x^96+2x^101

The gray image is a code over GF(2) with n=632, k=16 and d=284.
This code was found by Heurico 1.16 in 49.7 seconds.