The generator matrix

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

generates a code of length 53 over F9[X]/(X^2) who´s minimum homogenous weight is 404.

Homogenous weight enumerator: w(x)=1x^0+4320x^404+3872x^405+432x^408+1872x^409+2592x^410+6192x^411+15696x^412+31824x^413+20680x^414+648x^416+6912x^417+13752x^418+10368x^419+16776x^420+26928x^421+54936x^422+30936x^423+5184x^425+27648x^426+36864x^427+22032x^428+29520x^429+44856x^430+78048x^431+38376x^432+48x^441+72x^450+48x^459+8x^468

The gray image is a linear code over GF(9) with n=477, k=6 and d=404.
This code was found by Heurico 1.16 in 26.4 seconds.