The generator matrix

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

generates a code of length 79 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+241x^70+288x^71+960x^72+1340x^73+2768x^74+3312x^75+5416x^76+6176x^77+8838x^78+7536x^79+8167x^80+6160x^81+5807x^82+3352x^83+2392x^84+1104x^85+796x^86+352x^87+279x^88+68x^89+81x^90+8x^91+49x^92+25x^94+13x^96+4x^98+3x^100

The gray image is a code over GF(2) with n=632, k=16 and d=280.
This code was found by Heurico 1.16 in 66.8 seconds.