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

generates a code of length 82 over Z16 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+96x^78+236x^79+293x^80+336x^81+332x^82+264x^83+168x^84+96x^85+80x^86+76x^87+49x^88+16x^89+4x^90+1x^152

The gray image is a code over GF(2) with n=656, k=11 and d=312.
This code was found by Heurico 1.16 in 54.7 seconds.