The generator matrix

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

generates a code of length 38 over F9[X]/(X^2) who´s minimum homogenous weight is 283.

Homogenous weight enumerator: w(x)=1x^0+1224x^283+992x^288+1728x^289+4752x^290+26352x^291+13824x^292+4536x^296+14120x^297+12096x^298+19008x^299+67176x^300+30888x^301+36288x^305+55384x^306+32832x^307+40392x^308+122256x^309+47376x^310+64x^315+96x^324+56x^333

The gray image is a linear code over GF(9) with n=342, k=6 and d=283.
This code was found by Heurico 1.16 in 18.1 seconds.