The generator matrix

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

generates a code of length 49 over F9[X]/(X^2) who´s minimum homogenous weight is 371.

Homogenous weight enumerator: w(x)=1x^0+2232x^371+2448x^372+432x^376+432x^377+112x^378+17280x^379+38664x^380+13824x^381+1296x^384+6912x^385+3024x^386+336x^387+43200x^388+79272x^389+28512x^390+5832x^392+10368x^393+27648x^394+8208x^395+192x^396+79488x^397+124776x^398+36864x^399+16x^414+48x^423+16x^432+8x^441

The gray image is a linear code over GF(9) with n=441, k=6 and d=371.
This code was found by Heurico 1.16 in 24.4 seconds.