The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+164x^74+650x^75+930x^76+1238x^77+1034x^78+1050x^79+875x^80+688x^81+434x^82+438x^83+231x^84+182x^85+113x^86+102x^87+38x^88+4x^89+5x^90+13x^92+1x^94+1x^98

The gray image is a code over GF(2) with n=632, k=13 and d=296.
This code was found by Heurico 1.16 in 1.02 seconds.