The generator matrix

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

generates a code of length 34 over GR(81,9) who´s minimum homogenous weight is 243.

Homogenous weight enumerator: w(x)=1x^0+304x^243+288x^248+864x^249+1368x^251+1080x^252+1296x^256+6912x^257+9072x^258+5616x^260+1144x^261+20736x^265+55296x^266+49248x^267+19656x^269+1032x^270+82944x^274+147456x^275+98280x^276+25848x^278+1216x^279+1016x^288+616x^297+152x^306

The gray image is a code over GF(9) with n=306, k=6 and d=243.
This code was found by Heurico 1.16 in 18.1 seconds.