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

generates a code of length 70 over F9[X]/(X^2) who´s minimum homogenous weight is 522.

Homogenous weight enumerator: w(x)=1x^0+104x^522+432x^530+1328x^531+360x^532+504x^533+720x^538+3384x^539+9336x^540+6192x^541+3672x^542+4320x^547+11880x^548+27648x^549+15552x^550+9288x^551+18360x^556+34344x^557+84064x^558+42192x^559+20880x^560+29088x^565+54936x^566+92144x^567+40680x^568+18144x^569+544x^576+472x^585+376x^594+304x^603+128x^612+56x^621+8x^630

The gray image is a linear code over GF(9) with n=630, k=6 and d=522.
This code was found by Heurico 1.16 in 40.9 seconds.