The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+84x^71+304x^72+750x^73+1247x^74+1956x^75+2789x^76+3546x^77+3798x^78+4250x^79+3795x^80+3358x^81+2800x^82+1868x^83+920x^84+528x^85+303x^86+194x^87+120x^88+66x^89+43x^90+30x^91+4x^92+6x^93+1x^94+1x^96+2x^97+2x^99+1x^104+1x^108

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 16.3 seconds.