The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  1  1  1  1  1  1  1  1  1  1  0  2  1  1  1
 0  2  0  6  4 14 12  2  0  6 12 10  6  8  2 12  8  6  8  2 12  6 10  4 14  8 12  2  8 14 12  2  8  6 12  2  4 10  8  6  0 14  4 10 12  4  6  8  6 10  4 10  0  8 14  2 10  8 10  8 12 14  4  8 12 14  0 14  0 10 10  8  0 14  2 14  0 12  8
 0  0 12  0  4  4  0  4  0  0  0  0 12 12 12  4  4  8  8 12  8 12  8 12  8  4 12  8  8  4  8  4  4  0  0  4  8 12 12  8  0  4  4  0 12 12 12  0  4  8  8  8  8  4 12 12  4 12  0  8  0  8 12  0  4  0  4  8  0 12 12  0 12 12  0 12  8  4  4
 0  0  0  8  0  0  0  8  8  8  8  0  0  8  8  8  0  8  0  8  8  0  0  8  8  8  0  0  8  0  0  8  0  0  0  0  8  0  8  0  0  8  0  8  8  0  8  8  8  8  0  8  8  8  8  0  0  0  8  0  8  0  0  0  8  0  0  8  8  8  8  0  8  0  8  0  0  8  0
 0  0  0  0  8  0  8  0  8  8  0  8  8  8  8  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  0  8  8  0  0  8  8  8  0  0  8  0  0  0  0  0  0  8  0  0  8  8  0  8  8  8  8  0  0  0  8  8  0  0  0  8  0  8  8  8  8  8  0  8  8

generates a code of length 79 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+29x^74+124x^75+52x^76+364x^77+311x^78+444x^79+311x^80+184x^81+27x^82+84x^83+16x^84+60x^85+16x^86+20x^87+4x^88+1x^150

The gray image is a code over GF(2) with n=632, k=11 and d=296.
This code was found by Heurico 1.16 in 0.674 seconds.