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

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

Homogenous weight enumerator: w(x)=1x^0+412x^74+24x^75+585x^76+128x^77+878x^78+208x^79+802x^80+128x^81+512x^82+24x^83+246x^84+102x^86+29x^88+16x^90+1x^132

The gray image is a code over GF(2) with n=632, k=12 and d=296.
This code was found by Heurico 1.16 in 79.1 seconds.