The generator matrix

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

generates a code of length 79 over GR(81,9) who´s minimum homogenous weight is 594.

Homogenous weight enumerator: w(x)=1x^0+120x^594+72x^595+1112x^603+1584x^604+864x^606+7104x^612+16560x^613+4608x^615+22152x^621+48960x^622+10152x^624+62000x^630+125640x^631+20736x^633+69632x^639+122112x^640+16128x^642+528x^648+496x^657+360x^666+232x^675+160x^684+64x^693+64x^702

The gray image is a code over GF(9) with n=711, k=6 and d=594.
This code was found by Heurico 1.16 in 46.7 seconds.