The generator matrix

 1  0  0  1  1  1 10  2  1  1 10  1  1  4  1  1  2  1  1  8 14  1  1  8 14  1  1  4  1 14  1  6  8  1  1  0  1  1  1 12  6  6  4  1 14  1  1  1  1  4 10  1 10  1  1  0 10  1  1  1  0  1  6  1  1  2  0  1  1  1  1 10  1  1  2  1  1 12  6  1  1
 0  1  0  8  5 13  1  1  0 13  1 14 15  2  6  7  1 14  5  1  6  8 15  1  0  6  3  1  6  1  9  1 12  7  9  1 14 12 13  1  1 10  1  8  1  3 15 12  2  1  2  4  8  3  9  2  1 14  1  4  6  5  1  4 10  1  1  8  5 11  1 12  2  4 14  7  6  4  1 12  0
 0  0  1 11  3  8 15  6 14  6  5 11  3  1 10  2  0  1  5  9  1 13  9 15  1  0  4  6 13  5 15 11  1 12  9 13  6 13 12  0  8  1 15  4 14  2 13  3 11  2  1  2  1 15  6  1 11  8 13  0  1  7  2  6  6  4  6 15 10 14 12  1  5  9  1  8 15  1  4  1  0

generates a code of length 81 over Z16 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+160x^77+730x^78+610x^79+718x^80+380x^81+478x^82+206x^83+250x^84+164x^85+161x^86+76x^87+100x^88+12x^89+21x^90+24x^91+2x^92+2x^94+1x^100

The gray image is a code over GF(2) with n=648, k=12 and d=308.
This code was found by Heurico 1.16 in 0.358 seconds.