The generator matrix

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

generates a code of length 78 over Z16 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+60x^71+294x^72+584x^73+1244x^74+1422x^75+1883x^76+1900x^77+1999x^78+1780x^79+1870x^80+1296x^81+1048x^82+482x^83+236x^84+80x^85+75x^86+28x^87+33x^88+16x^89+14x^90+20x^91+12x^93+4x^94+2x^100+1x^108

The gray image is a code over GF(2) with n=624, k=14 and d=284.
This code was found by Heurico 1.16 in 4.73 seconds.