The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+76x^71+698x^72+1344x^73+2494x^74+2888x^75+3373x^76+3792x^77+4016x^78+3866x^79+3346x^80+2440x^81+2094x^82+1032x^83+635x^84+328x^85+174x^86+70x^87+39x^88+26x^89+20x^90+4x^91+4x^92+4x^93+2x^94+2x^97

The gray image is a code over GF(2) with n=624, k=15 and d=284.
This code was found by Heurico 1.16 in 12.6 seconds.