The generator matrix

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

generates a code of length 40 over F9[X]/(X^2) who´s minimum homogenous weight is 299.

Homogenous weight enumerator: w(x)=1x^0+1584x^299+864x^304+1080x^305+5784x^306+25920x^307+17928x^308+1944x^312+13824x^313+7560x^314+22752x^315+64800x^316+41040x^317+5832x^320+15552x^321+55296x^322+20520x^323+47840x^324+119232x^325+61920x^326+40x^333+96x^342+24x^351+8x^360

The gray image is a linear code over GF(9) with n=360, k=6 and d=299.
This code was found by Heurico 1.16 in 19.6 seconds.