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

generates a code of length 55 over GR(81,9) who´s minimum homogenous weight is 405.

Homogenous weight enumerator: w(x)=1x^0+104x^405+72x^411+720x^413+864x^414+792x^417+2088x^418+2880x^419+2088x^420+3528x^422+1280x^423+9288x^426+13176x^427+10800x^428+6912x^429+8424x^431+984x^432+49032x^435+54864x^436+39744x^437+20448x^438+22176x^440+792x^441+98352x^444+87336x^445+51552x^446+22968x^447+17640x^449+888x^450+656x^459+504x^468+304x^477+160x^486+24x^495

The gray image is a code over GF(9) with n=495, k=6 and d=405.
This code was found by Heurico 1.16 in 31.2 seconds.