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

generates a code of length 73 over GR(81,9) who´s minimum homogenous weight is 549.

Homogenous weight enumerator: w(x)=1x^0+240x^549+144x^550+144x^555+864x^557+1848x^558+1296x^559+576x^561+720x^562+6552x^564+8064x^566+5992x^567+5040x^568+6048x^570+4320x^571+20304x^573+17280x^575+10584x^576+11304x^577+32832x^579+18360x^580+61632x^582+42768x^584+22048x^585+20520x^586+65520x^588+29088x^589+68832x^591+36000x^593+16632x^594+14184x^595+512x^603+480x^612+320x^621+184x^630+176x^639+32x^648

The gray image is a code over GF(9) with n=657, k=6 and d=549.
This code was found by Heurico 1.16 in 42.8 seconds.