The generator matrix

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

generates a code of length 39 over F9[X]/(X^2) who´s minimum homogenous weight is 279.

Homogenous weight enumerator: w(x)=1x^0+200x^279+72x^280+1000x^288+1728x^289+1368x^290+1440x^291+648x^296+6312x^297+11232x^298+8856x^299+5400x^300+10368x^305+42624x^306+42048x^307+36504x^308+19872x^309+41472x^314+111536x^315+102384x^316+58248x^317+25776x^318+1008x^324+736x^333+504x^342+104x^351

The gray image is a linear code over GF(9) with n=351, k=6 and d=279.
This code was found by Heurico 1.16 in 21.3 seconds.