The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+90x^77+294x^78+240x^79+329x^80+270x^81+224x^82+196x^83+258x^84+86x^85+42x^86+12x^87+1x^88+1x^92+2x^97+1x^112+1x^116

The gray image is a code over GF(2) with n=648, k=11 and d=308.
This code was found by Heurico 1.16 in 0.573 seconds.