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

generates a code of length 74 over GR(81,9) who´s minimum homogenous weight is 558.

Homogenous weight enumerator: w(x)=1x^0+400x^558+72x^563+504x^565+2448x^566+2256x^567+144x^568+720x^570+1296x^571+2088x^572+3600x^574+14616x^575+6816x^576+3456x^577+4320x^579+5832x^580+6912x^581+9504x^583+28944x^584+11904x^585+27648x^586+18360x^588+19440x^589+20448x^590+20664x^592+63432x^593+20920x^594+73728x^595+29088x^597+25920x^598+22968x^599+18216x^601+48024x^602+15080x^603+520x^612+400x^621+328x^630+328x^639+96x^648

The gray image is a code over GF(9) with n=666, k=6 and d=558.
This code was found by Heurico 1.16 in 43 seconds.