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

generates a code of length 62 over F9[X]/(X^2) who´s minimum homogenous weight is 459.

Homogenous weight enumerator: w(x)=1x^0+152x^459+72x^464+144x^467+912x^468+504x^469+1152x^473+2160x^474+2808x^475+4248x^476+4360x^477+3672x^478+5184x^482+12960x^483+11016x^484+13608x^485+8536x^486+9288x^487+9216x^491+55080x^492+39528x^493+41112x^494+22144x^495+20880x^496+36864x^500+87264x^501+51624x^502+45864x^503+21088x^504+18144x^505+576x^513+592x^522+360x^531+224x^540+88x^549+16x^558

The gray image is a linear code over GF(9) with n=558, k=6 and d=459.
This code was found by Heurico 1.16 in 35.4 seconds.