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

generates a code of length 31 over F9[X]/(X^2) who´s minimum homogenous weight is 216.

Homogenous weight enumerator: w(x)=1x^0+200x^216+288x^224+1632x^225+1440x^227+1296x^232+6912x^233+5880x^234+5400x^236+5832x^240+20736x^241+55296x^242+35416x^243+19872x^245+46656x^249+82944x^250+147456x^251+66216x^252+25776x^254+1248x^261+752x^270+192x^279

The gray image is a linear code over GF(9) with n=279, k=6 and d=216.
This code was found by Heurico 1.16 in 15.7 seconds.