The generator matrix

 1  0  1  1  1 14  1  2  1  8  1  1  4  1  1  1  1 12  1  1  1  1  0 12  6 10  1  1 10  1  1 12  1  6  1  1 10  1  1  1  1 14  1  1  1  2  1 10  1  1  4  1  8  1  8  1 14 12  2  8  1  1  2  1  1  8  1  1  1  1  1 12  1  1  1 12  8  8
 0  1 11  6 13  1 12  1  7  1 10  1  1  8  3 14  5  1  4 15  2  9  1  1  1  1  0  3  1  6 13  1 10  1  8  1  1 14 15  4  6  1  8 13 13  1 11  1  1 12  1  3  1 15  1 10  1  1 14  1  5  8  1 10  6  1  2  8  7  8 11  1  2  9  9  1  1  1
 0  0 12  0  4  4  8  4  4 12  8 12 12  4  0 12  8  8  4  0 12  8  0  8  0  0  0  8  0  0  4 12  8  8  4  4 12  4  8  4  4 12  0  4  8  4  4  0  8  0 12 12 12  0  8 12  8  0 12  4  8  4  4  0  0  0 12 12  8  8  0  4  4  0 12  8 12  4
 0  0  0  8  0  8  8  8  8  0  0  8  0  0  0  0  0  0  8  8  8  8  8  8  0  8  8  8  8  0  8  8  8  0  0  8  8  0  0  8  8  0  0  0  0  0  0  0  8  8  8  8  0  0  8  0  0  8  0  8  8  8  0  8  0  8  0  8  8  8  0  8  8  8  0  0  8  0
 0  0  0  0  8  8  8  0  8  8  8  0  0  0  8  8  0  8  0  8  8  0  0  8  0  8  0  0  0  0  8  0  8  8  8  0  8  0  0  8  0  8  8  0  8  0  8  8  8  8  8  0  0  8  8  8  0  0  8  0  0  0  8  0  8  8  0  8  8  0  0  0  8  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+166x^73+278x^74+436x^75+499x^76+462x^77+517x^78+430x^79+467x^80+378x^81+260x^82+132x^83+22x^84+28x^85+1x^86+6x^87+4x^89+4x^91+2x^93+1x^96+1x^104+1x^108

The gray image is a code over GF(2) with n=624, k=12 and d=292.
This code was found by Heurico 1.16 in 0.722 seconds.