The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+111x^70+456x^71+806x^72+1286x^73+2458x^74+3568x^75+5597x^76+6174x^77+8551x^78+7736x^79+8575x^80+6524x^81+5377x^82+3276x^83+2340x^84+1132x^85+699x^86+394x^87+196x^88+124x^89+72x^90+40x^91+16x^92+4x^93+8x^94+2x^95+4x^96+2x^97+3x^98+1x^100+2x^101+1x^102

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 61.9 seconds.