The generator matrix

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

generates a code of length 85 over Z16 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+108x^78+802x^79+1500x^80+2398x^81+2904x^82+3624x^83+3741x^84+3740x^85+3506x^86+3424x^87+2421x^88+1790x^89+1132x^90+808x^91+410x^92+196x^93+94x^94+86x^95+37x^96+16x^97+16x^98+8x^99+1x^100+4x^101+1x^104

The gray image is a code over GF(2) with n=680, k=15 and d=312.
This code was found by Heurico 1.16 in 14 seconds.