The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 12  8  1  1  0  4  0  2  2  0  2  2  1  1  1  1  1  2 12  2  1  1  0  1  1  1  0  4  1  1  2 12  1  2  1  1  2  1  1  0  0  1  1  2  1  4 12  4  1
 0  2  0  0  0  2 14  2  4 12 14 10 12 14 12 14  4 14  0  4  2  6 12 10  8 10 10  2  8 12  4 10 12 12  0  6  2 12  6  0  4  2  2 14  0  2  8  2  4  4  2  0 10  4  2  8  2  4  2  0 12  4 12  2 14  2 10  4 14  8 12  6  8 14 12  2  2  8  0 14 10  2  2  2 12
 0  0  2  0  2  2 10  8  0  0  2 10  6  4 14  4  8  8  4  2 14  6 14  4 14  8  8 10  8  2 12 10 10  4  4  6 12  2  2 10  2 10  2  2  8 12  6  0  4 12  0  4 10  2 14  6 12  0 10  6 10 14  2  4 12  4 10 12  4  4  2 10 10  6  2 12  0  0 10  4  6  4  8  8  4
 0  0  0  2  2  8  2  6 14  4  4 14 14 10 12  4 10 14 12  6 12 10  4  4 14  4 10  2  0  8  2  8  2 14  2  6  4  0  8  4  8 14  0  0  6 10  2  6  2 12  4 14 10 12  2  4  2 12 12  8 12  4 12  8 12 14  4  2 14  2 10  8 10  0  2 14 12  4  0  8 12  2  6  6 10
 0  0  0  0  4  0  4 12 12 12 12  8  8  0 12 12 12  0  0  4  0  8  8  0  0  4 12 12 12  0  4 12  4  8  0  8  8  0  8  4 12  0  4  0 12  8 12  4 12 12  8 12  8 12 12 12  0  8  4  8  8  4  0 12  8  4  0  0  0 12  8  4  8  0  0 12  0  4  4  4  4  4  8 12 12

generates a code of length 85 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+158x^76+358x^77+711x^78+1046x^79+1272x^80+2128x^81+2310x^82+3308x^83+3226x^84+3922x^85+3498x^86+3486x^87+2126x^88+1748x^89+1112x^90+814x^91+640x^92+368x^93+189x^94+168x^95+89x^96+48x^97+18x^98+8x^99+8x^100+4x^101+1x^102+2x^107+1x^118

The gray image is a code over GF(2) with n=680, k=15 and d=304.
This code was found by Heurico 1.16 in 26.3 seconds.