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

generates a code of length 68 over F9[X]/(X^2) who´s minimum homogenous weight is 524.

Homogenous weight enumerator: w(x)=1x^0+3816x^524+11520x^525+3528x^526+1512x^531+4320x^532+29376x^533+59904x^534+12960x^535+3976x^540+6912x^541+52272x^542+89280x^543+27648x^544+6840x^549+12096x^550+72000x^551+113400x^552+20016x^553+32x^558+16x^567+16x^612

The gray image is a linear code over GF(9) with n=612, k=6 and d=524.
This code was found by Heurico 1.16 in 34 seconds.