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

generates a code of length 38 over F9[X]/(X^2) who´s minimum homogenous weight is 270.

Homogenous weight enumerator: w(x)=1x^0+136x^270+432x^274+728x^279+72x^280+576x^281+4320x^282+2016x^283+1120x^288+1728x^289+6048x^290+25920x^291+6264x^292+1128x^297+13824x^298+32832x^299+110160x^300+14688x^301+976x^306+36864x^307+65520x^308+174528x^309+29088x^310+984x^315+904x^324+456x^333+128x^342

The gray image is a linear code over GF(9) with n=342, k=6 and d=270.
This code was found by Heurico 1.16 in 20.8 seconds.