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

generates a code of length 84 over Z16 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+69x^78+204x^79+260x^80+380x^81+456x^82+476x^83+617x^84+520x^85+314x^86+292x^87+188x^88+80x^89+78x^90+36x^91+49x^92+40x^93+10x^94+16x^95+5x^96+4x^97+1x^134

The gray image is a code over GF(2) with n=672, k=12 and d=312.
This code was found by Heurico 1.16 in 0.923 seconds.