The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1  1  X a*X  1  1  1 a*X  1  1  1 a^5*X  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 a^6*X  X a^3*X  1  1
 0  1  1  a a^7*X+a^2 a^3 a^7*X+2 a^7*X+a^6 a^5 a^7  0 a^7 a^5 a^7*X+a^6 a^3  1  a a^7*X+a^2 a^7*X+1 a^7*X+2 a^7 a^7*X+a^6 a^7*X+a^2 a^3  1  a a^7*X+1 a^6*X+a^6 a^7*X+1 X+a^3 a^6*X+a^2  0 a^5*X+1 X+a a^2*X+a  1  1 X+a^3 X+a^7 a^3*X+a^3  1 a^6*X+a^2 a^6*X+a^6 a^3*X+1  1 X+a^3 a^6*X+a^6 a^5  X 2*X+1 a^6*X+a^2 a^3 a^6*X+1 a*X+a^3 a*X+a^2 X+a^5 X+a a^2*X+a^6  X a^3*X+1  1  1  1 a^5*X+a^6  0
 0  0 a^7*X  0 a^7*X  X a^6*X a^6*X 2*X a*X a^7*X a*X  X a*X  X  X a^6*X 2*X a^7*X a^2*X a^6*X 2*X  0 a*X 2*X 2*X  X a*X a^5*X a^3*X a^5*X a^3*X a^2*X a^2*X a^7*X 2*X a^5*X a^5*X 2*X a*X  X a^6*X a^2*X  0  0 a^6*X a^7*X  X a^7*X a^3*X a^6*X a*X  0 a^5*X a^6*X a^5*X a^5*X 2*X 2*X a*X a^5*X a^6*X a^2*X  0  0
 0  0  0  X a^7*X a^7*X  X a*X  X a^2*X a^5*X a^6*X a^5*X a^3*X  0 a^6*X a^2*X a^7*X a*X a^2*X a^5*X a*X a^6*X 2*X  0 a^2*X a*X  0 a^6*X a^7*X  X a^5*X 2*X a^6*X a^6*X a^5*X a*X a^3*X a^5*X a^2*X  X a^6*X 2*X 2*X a*X a^2*X a^5*X  X a^3*X  0 a^5*X a^7*X a^3*X  0  X a^6*X a*X 2*X a^5*X a^7*X 2*X a^7*X  0 a^3*X  X

generates a code of length 65 over F9[X]/(X^2) who´s minimum homogenous weight is 486.

Homogenous weight enumerator: w(x)=1x^0+192x^486+144x^490+216x^492+864x^493+792x^494+1112x^495+576x^497+2088x^499+2304x^500+2952x^501+7992x^502+4968x^503+1800x^504+6048x^506+12312x^508+6696x^509+7992x^510+17496x^511+9504x^512+11320x^513+32832x^515+38520x^517+20520x^518+20952x^519+42552x^520+21240x^521+42280x^522+65520x^524+51912x^526+22968x^527+20376x^528+36072x^529+15984x^530+752x^531+584x^540+432x^549+272x^558+176x^567+120x^576+8x^585

The gray image is a linear code over GF(9) with n=585, k=6 and d=486.
This code was found by Heurico 1.16 in 37.8 seconds.