The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+466x^74+504x^75+977x^76+864x^77+1046x^78+936x^79+909x^80+728x^81+676x^82+512x^83+307x^84+40x^85+134x^86+39x^88+46x^90+4x^92+1x^96+2x^104

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 55.1 seconds.