The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+37x^74+394x^75+276x^76+248x^77+278x^78+266x^79+150x^80+220x^81+81x^82+36x^83+32x^84+12x^85+2x^86+4x^87+4x^88+4x^89+1x^92+1x^102+1x^106

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 0.391 seconds.