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

generates a code of length 83 over F9[X]/(X^2) who´s minimum homogenous weight is 630.

Homogenous weight enumerator: w(x)=1x^0+392x^630+72x^635+720x^636+5288x^639+720x^642+1368x^643+2088x^644+12384x^645+17560x^648+4320x^651+5616x^652+6912x^653+31104x^654+33624x^657+18360x^660+19656x^661+20448x^662+84384x^663+61832x^666+29088x^669+25848x^670+22968x^671+81360x^672+43592x^675+560x^684+424x^693+248x^702+280x^711+160x^720+48x^729+16x^738

The gray image is a linear code over GF(9) with n=747, k=6 and d=630.
This code was found by Heurico 1.16 in 48.9 seconds.