The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+114x^71+744x^72+1444x^73+2938x^74+3582x^75+5615x^76+6050x^77+8540x^78+7576x^79+8892x^80+6008x^81+5802x^82+3394x^83+2339x^84+1112x^85+787x^86+284x^87+114x^88+84x^89+38x^90+34x^91+20x^92+6x^93+7x^94+6x^95+3x^96+2x^99

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 51 seconds.