The generator matrix

 1  0  0  1  1  1 10  2  1  1 10  1  1  4  1  1  2  1  1  8 14  1  1  1  1 12 10  4  1 10  1 12  1  1  1 14  1 14  1  6 14 10  1  1  1 12  1  8  1  4  1  8  8  1  2  2  1 14  0  1 14  0  4  1  1  0  1 14 14  1 12 14  6  1  8  8 14  1
 0  1  0  8  5 13  1  1  0 13  1 14 15  2  6  7  1 10  1  1  4  6 11 12  3  1  2  1  8  0 12  1 15  1  4  1  5  2 14  1  1  1  2  8  7 14 10  1  1 12  3  1 10  0  1  6 11  6  6  3  1  1  8  5  4  1 12  0  1  8  1  1 12  6  1  1  1  0
 0  0  1 11  3  8 15  6 14  6  5 11  3  1 10  2  0  9 13  3  1  0  8  5  1  5  1  6  7  1 12 11 15  4  2 13  7  1 13  4 14  9  0  9  1  1 11  9 15  1  3  4  1  5 11  1  2  1  1  5  3 11  1  5  7  5 14  1  7 13 13 10  1  6  6  2  9  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+640x^75+667x^76+604x^77+492x^78+424x^79+368x^80+180x^81+150x^82+164x^83+56x^84+80x^85+36x^86+20x^87+16x^88+3x^92+1x^104

The gray image is a code over GF(2) with n=624, k=12 and d=296.
This code was found by Heurico 1.16 in 0.44 seconds.