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

generates a code of length 78 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+194x^74+224x^75+118x^76+224x^77+524x^78+224x^79+118x^80+224x^81+194x^82+1x^92+1x^108+1x^112

The gray image is a code over GF(2) with n=624, k=11 and d=296.
This code was found by Heurico 1.16 in 0.314 seconds.