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

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

Homogenous weight enumerator: w(x)=1x^0+7x^80+106x^81+7x^82+4x^89+2x^97+1x^98

The gray image is a code over GF(2) with n=648, k=7 and d=320.
This code was found by Heurico 1.16 in 0.279 seconds.