The generator matrix

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

generates a code of length 88 over F9[X]/(X^2) who´s minimum homogenous weight is 666.

Homogenous weight enumerator: w(x)=1x^0+168x^666+216x^669+864x^675+576x^676+936x^677+2448x^678+3960x^679+1160x^684+5328x^685+7488x^686+13320x^687+17136x^688+1008x^693+16848x^694+18576x^695+30672x^696+31752x^697+776x^702+41328x^703+41616x^704+62784x^705+61704x^706+680x^711+40896x^712+36360x^713+48024x^714+42912x^715+440x^720+456x^729+392x^738+336x^747+128x^756+64x^765+64x^774+16x^783+8x^792

The gray image is a linear code over GF(9) with n=792, k=6 and d=666.
This code was found by Heurico 1.16 in 52.8 seconds.