The generator matrix

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

generates a code of length 67 over F9[X]/(X^2) who´s minimum homogenous weight is 504.

Homogenous weight enumerator: w(x)=1x^0+488x^504+216x^507+144x^508+792x^510+1648x^513+1368x^515+11304x^516+3240x^517+4896x^519+7168x^522+5616x^524+32832x^525+7560x^526+9720x^528+33672x^531+19656x^533+103680x^534+21240x^535+21024x^537+66408x^540+25848x^542+114408x^543+20304x^544+16056x^546+752x^549+480x^558+384x^567+232x^576+232x^585+64x^594+8x^603

The gray image is a linear code over GF(9) with n=603, k=6 and d=504.
This code was found by Heurico 1.16 in 38.4 seconds.