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

generates a code of length 81 over GR(81,9) who´s minimum homogenous weight is 612.

Homogenous weight enumerator: w(x)=1x^0+192x^612+72x^614+72x^619+360x^620+1792x^621+792x^622+1368x^623+720x^626+1440x^627+2088x^628+9864x^629+9216x^630+4968x^631+5040x^632+4320x^635+5400x^636+6912x^637+22680x^638+18536x^639+9504x^640+11592x^641+18360x^644+19872x^645+20448x^646+63576x^647+43368x^648+21240x^649+20016x^650+29088x^653+25776x^654+22968x^655+60984x^656+36752x^657+15984x^658+14400x^659+424x^666+448x^675+288x^684+232x^693+152x^702+88x^711+32x^720+16x^729

The gray image is a code over GF(9) with n=729, k=6 and d=612.
This code was found by Heurico 1.16 in 49.7 seconds.