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  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  1  1  1  1  1  1  1  1  1  1  2  1  1  2  1  1  2  4  4  1  1  2  1  1  2  1  0  1  0  2  1  1  2
 0 12  0  0  0  8  0  8  0 12  4 12 12  4  4  4  4 12  0  0  8  0  4  0 12  8  4  8  4 12  4  8  8  0  4  4  8  0  4  0  4  4 12  4  8  0 12  0  0  4  4  8  8 12  4  0 12 12  4 12  8  8 12  8  4  0  4 12 12  4  0 12  0  0  8  4  4  4  0  8  8  4 12  8  8
 0  0 12  0  0  8  4 12  4  4  4 12  8 12  8  8  4  8  8  0  4 12  4  8  8  8  0  4 12  8 12  4  4  4  0  4  8  8  8  4  4 12  4  8  8 12  0  0  0  4 12  0 12  4  0  0  8  4  4  8  4  4 12  0  0 12 12 12  4  4  4  4  0  8 12  8  0  4  0 12  0  0  0  4  0
 0  0  0 12  0  4  4  4  8  0  4  0  8  4  4 12  0  4  8 12  8  8  8  4 12  0  0  4  4  8 12  4  0  0  8 12  4  8  0 12  4  0  0 12  4  4 12  4  8  8  4  4  8 12  8 12  8  4  0  0 12  0 12  0  0  0 12  4  4  4 12  0  8  4  4  4  0 12  4  8  8  4  4  8  8
 0  0  0  0 12  4  8 12 12  4  4  8  4  0  0 12  0  8  0  4  8  4  4  8  4 12  8  8  4 12  0  4  8  4  8 12  8  8 12  8  8  4  0  8 12 12  4 12  4  8  8  0  4  0 12  8  0  4  8  0  8  0  0  4 12  8  4  8  8  4  0  8 12  8  8 12 12  4  8  8  4 12  4  4  0

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

Homogenous weight enumerator: w(x)=1x^0+198x^78+4x^79+87x^80+104x^81+266x^82+504x^83+508x^84+868x^85+572x^86+436x^87+106x^88+112x^89+142x^90+16x^91+50x^92+4x^93+82x^94+13x^96+14x^98+2x^100+4x^102+2x^106+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 7.69 seconds.