The generator matrix

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

generates a code of length 37 over F9[X]/(X^2) who´s minimum homogenous weight is 279.

Homogenous weight enumerator: w(x)=1x^0+48x^279+216x^280+1080x^281+12096x^282+28080x^283+6480x^284+4200x^288+3456x^289+7560x^290+48384x^291+70200x^292+10368x^293+23328x^296+31328x^297+13824x^298+20520x^299+102816x^300+129168x^301+18144x^302+40x^306+24x^315+48x^324+32x^333

The gray image is a linear code over GF(9) with n=333, k=6 and d=279.
This code was found by Heurico 1.16 in 87.3 seconds.