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  1  1  1  1  1  1  1  1  8  1  1  1  1  1  1  1  0  2  1  1  1  4  2
 0  2 12  6  0  6 12 10  0  6 10 12  8 14  4 10  0  6 10 12  6  0 12 10  0  6 12 10  8 14  4  2  0  6 12 10 14  0  2  4  6  8  4 10 14  8 12  2  0  8  0  8  6  6 14 14 12 12  4  4 10 10  2  2  8  0  0  8  8  6  6 14  2  6  0  0 12 12  6
 0  0  8  0  0  0  8  0  0  0  0  8  0  0  8  0  0  8  8  0  8  0  0  8  8  8  8  8  8  8  8  8  0  0  0  0  8  8  8  8  0  8  8  0  8  0  0  8  8  8  8  8  0  8  8  0  0  0  0  0  0  8  8  0  0  0  0  0  0  0  8  8  0  0  8  8  8  8  0
 0  0  0  8  0  0  0  8  0  0  0  0  0  8  0  8  8  8  8  8  8  8  8  8  8  0  8  0  8  0  8  0  8  0  0  0  0  0  8  8  8  0  8  8  8  8  0  0  8  0  8  0  0  0  8  8  0  8  8  0  0  8  0  8  0  0  8  8  0  8  8  0  0  0  8  0  8  8  8
 0  0  0  0  8  0  8  0  0  8  8  8  8  8  0  8  8  0  0  8  8  0  0  8  0  8  0  0  8  0  8  8  8  0  0  8  8  0  0  0  0  8  8  8  8  0  8  0  0  0  8  8  8  0  0  8  0  0  8  8  0  8  8  0  0  8  0  0  8  8  0  0  0  0  8  8  8  8  0
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  8  0  0  8  8  8  8  0  0  0  0  8  0  8  8  0  8  8  0  0  8  8  0  0  0  8  8  8  0  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  8  8  0  0  0  8  0  8  0  0  8  0  0  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+35x^74+96x^75+180x^76+336x^77+169x^78+416x^79+363x^80+192x^81+45x^82+64x^83+95x^84+48x^85+7x^86+1x^148

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 20.3 seconds.