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  1  1  1  1  1  1  1  1  1  1  3  1 3a  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 3a+7  1 8a 3a+5 8a+5 a+5 2a+5 7a+7 3a+5  0 8a+4 8a+3  a 8a+3 8a+3  1 6a+5  1 6a+8 a+3  0
 0  0 3a+6  0 3a+6  3 6a+6 6a+6  6 3a 3a+6 3a  3 3a  3  3 6a+6  6 3a+6 3a+6  3 6a+6 3a 3a+3 6a+3 6a+6  3  3 3a+6  6  0 3a 3a+6 6a+3  0 6a  0  3  0
 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  3  6 3a 6a+6 3a+6 6a+6 6a+6 6a+3 6a+3 3a 3a 6a+3 3a+6  3 6a+3  0 6a+6 6a+3 3a+3  6  0

generates a code of length 39 over GR(81,9) who´s minimum homogenous weight is 279.

Homogenous weight enumerator: w(x)=1x^0+200x^279+72x^280+1000x^288+1728x^289+1368x^290+1440x^291+648x^296+6312x^297+11232x^298+8856x^299+5400x^300+10368x^305+42624x^306+42048x^307+36504x^308+19872x^309+41472x^314+111536x^315+102384x^316+58248x^317+25776x^318+1008x^324+736x^333+504x^342+104x^351

The gray image is a code over GF(9) with n=351, k=6 and d=279.
This code was found by Heurico 1.16 in 20.9 seconds.