The generator matrix

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

generates a code of length 36 over F9[X]/(X^2) who´s minimum homogenous weight is 274.

Homogenous weight enumerator: w(x)=1x^0+2160x^274+3600x^275+328x^279+8640x^283+9000x^284+272x^288+18360x^292+16560x^293+40x^297+8x^306+16x^315+64x^324

The gray image is a linear code over GF(9) with n=324, k=5 and d=274.
This code was found by Heurico 1.16 in 99.2 seconds.