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

generates a code of length 91 over F9[X]/(X^2) who´s minimum homogenous weight is 693.

Homogenous weight enumerator: w(x)=1x^0+360x^693+216x^694+72x^699+432x^700+2232x^701+1024x^702+1224x^703+2160x^704+2016x^708+5904x^709+19440x^710+1184x^711+4824x^712+5904x^713+7128x^717+15984x^718+44928x^719+896x^720+11664x^721+12096x^722+20232x^726+41904x^727+105336x^728+872x^729+20376x^730+19440x^731+23040x^735+40752x^736+90504x^737+616x^738+14184x^739+12888x^740+384x^747+336x^756+288x^765+248x^774+192x^783+112x^792+32x^801+8x^810+8x^819

The gray image is a linear code over GF(9) with n=819, k=6 and d=693.
This code was found by Heurico 1.16 in 54 seconds.