The generator matrix

 1  0  1  1  1  1  1  1 2X^2+X 2X  1  1  1  1  0  1  1 2X^2+X  1  1  1  1  1  1 2X^2 2X^2+2X 2X  1  1  1  1  1  0  1  1 2X^2+X  1  1  1  1  1  1  1  1  X  1  1  0  1  1  1  1 X^2+X  1 X^2+X  1 2X^2+2X  1 2X^2+X  1  1 2X^2 X^2+X X^2  1  1  1 2X^2 2X  1  1  1  1 2X^2+2X  1  1  1  X  1 2X^2+X  X X^2+X  1  1 X^2 X^2+X  1  1
 0  1  1  2 2X^2+X 2X 2X^2+X+2 2X+2  1  1 2X^2+2X+1 X+1 2X^2 2X^2+2  1 2X+1  X  1  2 2X^2+X+1  1 2X^2+2X 2X+2 2X^2+X+2  1  1  1 2X^2+2X+1 2X^2+2X+2 2X^2 X+1 2X^2+2X  1  2 2X  1 2X^2+X+2 X^2+2  0 X^2+X 2X+1 X+2 X^2+2X+1 X^2+2  1 2X^2+1 2X^2+X+1  1 X^2+1 2X^2+2X+1 2X  1  1 2X  1 2X^2+2  1 2X+1  1 2X^2+X+1 2X^2+2X+1  1  1  1 X^2+2 2X X+1  1  1 X+1 2X+2 2X 2X^2+X  1 X^2+2X+2 2X^2+1 X^2 X^2 X+2  1 2X^2+X  1 2X^2+2 2X^2+2X  X  1 2X^2+1  X
 0  0 2X  0  0 X^2 2X^2  0 X^2 X^2 2X^2+2X 2X 2X^2+X  X 2X  X X^2+X X^2+2X X^2+2X 2X^2+X 2X^2+X  X X^2+2X 2X^2+2X  X X^2+X 2X^2+2X X^2+2X 2X^2+X X^2+X 2X^2+2X  X X^2+2X 2X 2X 2X^2 2X^2+2X X^2+2X X^2 X^2+2X X^2+X 2X^2 X^2+X  0  0 X^2 X^2+X  0 2X X^2 2X^2 2X X^2 2X^2+X X^2+2X X^2 2X 2X^2+2X X^2+2X  0  0  0  X X^2+2X  X X^2+2X X^2+X  X 2X^2 X^2 X^2+2X 2X^2 2X^2 2X^2+X 2X X^2 2X^2+X 2X  X 2X^2+X  X  X 2X^2 X^2 X^2+2X  X X^2  X
 0  0  0 X^2  0  0  0 2X^2 X^2 2X^2 2X^2 X^2 X^2 X^2 2X^2 2X^2 2X^2  0 X^2  0 X^2 2X^2 X^2 X^2  0 X^2  0  0 2X^2  0 X^2 X^2 X^2 2X^2  0  0  0  0 2X^2 X^2  0  0 2X^2 2X^2 X^2 X^2 X^2 2X^2 X^2  0 2X^2 X^2 2X^2 2X^2  0 2X^2 2X^2  0 2X^2 2X^2  0  0 X^2 2X^2 2X^2  0 X^2  0 2X^2  0 2X^2 2X^2 X^2 2X^2 X^2 2X^2 2X^2  0 X^2  0 2X^2  0 X^2 2X^2 2X^2  0 X^2  0
 0  0  0  0 2X^2 X^2 X^2 2X^2 X^2 2X^2  0  0  0  0 2X^2 X^2 X^2 X^2 2X^2  0 2X^2 2X^2 X^2  0 X^2  0 2X^2 2X^2 2X^2  0 2X^2 2X^2 X^2 X^2  0 2X^2 2X^2  0 2X^2 2X^2 X^2  0 2X^2 X^2  0 2X^2  0 X^2 X^2 X^2  0  0  0  0  0  0  0 X^2 X^2 2X^2 2X^2 X^2 X^2  0  0 2X^2 2X^2  0  0  0 X^2 2X^2 2X^2 2X^2  0 X^2 2X^2 X^2 2X^2 2X^2 2X^2 2X^2 X^2 2X^2 2X^2  0 X^2 X^2

generates a code of length 88 over Z3[X]/(X^3) who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+516x^165+90x^166+792x^167+1930x^168+1062x^169+2412x^170+3628x^171+2034x^172+4464x^173+5144x^174+3798x^175+5850x^176+5688x^177+3798x^178+5364x^179+4104x^180+2016x^181+2664x^182+1968x^183+324x^184+324x^185+554x^186+220x^189+164x^192+106x^195+28x^198+2x^204+2x^207+2x^210

The gray image is a linear code over GF(3) with n=792, k=10 and d=495.
This code was found by Heurico 1.16 in 14.6 seconds.