The generator matrix

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

generates a code of length 79 over Z16 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+84x^75+301x^76+318x^77+284x^78+208x^79+243x^80+260x^81+173x^82+58x^83+70x^84+30x^85+14x^86+2x^99+1x^106+1x^108

The gray image is a code over GF(2) with n=632, k=11 and d=300.
This code was found by Heurico 1.16 in 0.536 seconds.