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

generates a code of length 86 over F9[X]/(X^2) who´s minimum homogenous weight is 648.

Homogenous weight enumerator: w(x)=1x^0+64x^648+72x^650+680x^657+504x^659+144x^660+432x^661+792x^662+1224x^663+4608x^664+1184x^666+1368x^667+2520x^668+6984x^669+3888x^670+4968x^671+6120x^672+13248x^673+1120x^675+5616x^676+7488x^677+14472x^678+9072x^679+9504x^680+9936x^681+37584x^682+800x^684+19656x^685+15912x^686+42840x^687+20952x^688+21240x^689+21024x^690+76608x^691+616x^693+25848x^694+25992x^695+40536x^696+18144x^697+15984x^698+14184x^699+25416x^700+680x^702+368x^711+344x^720+264x^729+200x^738+136x^747+88x^756+16x^765

The gray image is a linear code over GF(9) with n=774, k=6 and d=648.
This code was found by Heurico 1.16 in 51.3 seconds.