The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  3
 0  3  0  0  0  3  3  3 3a 6a+3  0  3 6a+3  3
 0  0  3  0  0 3a+6 6a+6 3a  6 3a+6  3 3a+3 3a  6
 0  0  0  3  0 3a+6  3 3a+3 3a+3 6a+6 6a+3  0  3  6
 0  0  0  0  3 6a+6  6 6a+3  3  3 3a 3a+3 6a 3a+6

generates a code of length 14 over GR(81,9) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+992x^81+3048x^90+7008x^99+52488x^104+17016x^108+419904x^113+19632x^117+11352x^126

The gray image is a code over GF(9) with n=126, k=6 and d=81.
This code was found by Heurico 1.16 in 14.1 seconds.