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

generates a code of length 81 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+52x^76+216x^78+874x^80+656x^82+76x^84+152x^86+20x^88+1x^160

The gray image is a code over GF(2) with n=648, k=11 and d=304.
This code was found by Heurico 1.16 in 0.56 seconds.