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

generates a code of length 78 over GR(81,9) who´s minimum homogenous weight is 585.

Homogenous weight enumerator: w(x)=1x^0+80x^585+744x^594+504x^595+144x^596+864x^597+936x^598+1168x^603+12384x^604+3384x^605+7920x^606+4464x^607+1000x^612+41472x^613+7128x^614+17712x^615+10152x^616+832x^621+122832x^622+21672x^623+42336x^624+20880x^625+688x^630+137736x^631+20160x^632+36144x^633+16056x^634+656x^639+416x^648+440x^657+224x^666+192x^675+104x^684+8x^693+8x^702

The gray image is a code over GF(9) with n=702, k=6 and d=585.
This code was found by Heurico 1.16 in 46 seconds.