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  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  1  1  1  1  1  1  1  1  1  2  2  2  2  2  2  2  2  2  2  2  2  1  1  1  1  1  2  4  1  1
 0 12  0  4  0  0  4 12  0  0  4 12  0  0  4 12  8  8 12  4  8  8 12  4  8  8 12  4  8  8 12  4  8  0 12  4  4  4 12  4  8  0  4  4  0  0  8  8 12 12 12  0  8 12  8  4 12  4 12  0  4  8  0  8  0 12  4 12 12  8  0  0 12 12  0  8 12  0  8  8  0
 0  0 12  4  0 12  4  0  8  4 12  8  8  4 12  8  8  4 12  8  8  4 12  8  0 12  4  0  0 12  4  0  4 12  0  8  4 12  0  8  4 12  4 12  0  8  8  0 12  4  8  0  0  0  4  4  4 12 12 12  0 12  4 12  4  8  0 12  4  8  0  8  8  0  0  0  8  8  8 12  4
 0  0  0  8  8  8  0  8  8  8  8  8  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  8  8  8  8  8  8  0  0  8  8  8  8  0  0  8  0  0  8  8  8  8  8  8  8  8  8  8  0  0  0  0  8  8  0  0  0  8  0  8  8  0  8  8  0  0

generates a code of length 81 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+172x^80+256x^81+64x^82+16x^88+1x^96+2x^112

The gray image is a code over GF(2) with n=648, k=9 and d=320.
This code was found by Heurico 1.16 in 33.2 seconds.