The generator matrix

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

generates a code of length 69 over F9[X]/(X^2) who´s minimum homogenous weight is 532.

Homogenous weight enumerator: w(x)=1x^0+3240x^532+11808x^533+4536x^534+432x^538+88x^540+34128x^541+61776x^542+14400x^543+1728x^547+384x^549+53568x^550+89856x^551+33408x^552+3672x^556+232x^558+78192x^559+116496x^560+23472x^561+8x^585+16x^621

The gray image is a linear code over GF(9) with n=621, k=6 and d=532.
This code was found by Heurico 1.16 in 33.1 seconds.