The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+236x^75+124x^76+208x^77+130x^78+648x^79+130x^80+208x^81+124x^82+236x^83+1x^94+1x^110+1x^112

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 0.327 seconds.