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

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

Homogenous weight enumerator: w(x)=1x^0+43x^78+94x^79+168x^80+248x^81+310x^82+322x^83+657x^84+484x^85+637x^86+340x^87+273x^88+204x^89+149x^90+74x^91+47x^92+14x^93+4x^94+2x^95+5x^96+8x^97+5x^98+2x^101+4x^102+1x^144

The gray image is a code over GF(2) with n=680, k=12 and d=312.
This code was found by Heurico 1.16 in 1.23 seconds.