The generator matrix

 1  0  1  1  1  1  1  1  1  0  1  1  1
 0  1  1  a 7a+7 8a+4 3a+5 8a+5 7a+7  1 8a a+5  0
 0  0 3a+6  0 3a+6  3 6a+6 6a+6  3 6a+6  0 3a+3 3a
 0  0  0  3 3a+6 3a+6  3 3a 3a 3a+3 6a 3a+3 3a+3

generates a code of length 13 over GR(81,9) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+288x^81+1944x^88+1136x^90+40824x^96+31104x^97+1104x^99+326592x^105+124416x^106+2696x^108+1336x^117

The gray image is a code over GF(9) with n=117, k=6 and d=81.
This code was found by Heurico 1.16 in 4.78 seconds.