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

generates a code of length 78 over Z16 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+158x^73+683x^74+958x^75+1288x^76+848x^77+960x^78+920x^79+829x^80+478x^81+418x^82+206x^83+196x^84+104x^85+96x^86+28x^87+4x^88+8x^89+3x^90+4x^93+2x^96

The gray image is a code over GF(2) with n=624, k=13 and d=292.
This code was found by Heurico 1.16 in 1 seconds.