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

generates a code of length 37 over F9[X]/(X^2) who´s minimum homogenous weight is 261.

Homogenous weight enumerator: w(x)=1x^0+104x^261+216x^265+640x^270+72x^272+1440x^273+2304x^274+1088x^279+1296x^280+1728x^281+15120x^282+9936x^283+1088x^288+20736x^289+13824x^290+82080x^291+30672x^292+1080x^297+82944x^298+36864x^299+163800x^300+61848x^301+1008x^306+872x^315+568x^324+112x^333

The gray image is a linear code over GF(9) with n=333, k=6 and d=261.
This code was found by Heurico 1.16 in 20 seconds.