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

generates a code of length 42 over F9[X]/(X^2) who´s minimum homogenous weight is 315.

Homogenous weight enumerator: w(x)=1x^0+1688x^315+936x^316+504x^320+3240x^321+1224x^322+18504x^323+28616x^324+3528x^325+3240x^328+8064x^329+22680x^330+5328x^331+47232x^332+59032x^333+8280x^334+25920x^337+32256x^338+61560x^339+10944x^340+85896x^341+91968x^342+10584x^343+120x^351+56x^360+40x^369

The gray image is a linear code over GF(9) with n=378, k=6 and d=315.
This code was found by Heurico 1.16 in 20.4 seconds.