The generator matrix

 1  0  0  1  1  1  1  1  1  1 2X^2  1  X X^2 2X^2+2X  1  0 2X^2+X  1  1  1  1  1  1  1  1  1  1  1  1 2X^2+2X  1  1 X^2  1  1  1  1  1  1 2X^2+2X X^2 2X  1  1  1 X^2+2X  1  1  1  1  1  1  X 2X^2  1  0  1  1  1 X^2+2X  1  1 2X  1  1  1  1  1  1  1  1  1  1 X^2+2X  1  0  1  1  X  1  1 2X  1  1  0  1  0
 0  1  0  0 X^2 2X^2+2X+1 2X^2+2X+1 X+2  1 2X^2+X+2  1 2X^2+2  1  1  1 2X 2X^2+X  1 2X+2 X^2+X+1  1 X+2 2X X^2 X+1 2X^2+2X+2 2X+2  X 2X^2+2X+1 X+2  0 X^2+2X+1 X+1  1  0  X X+2 X^2+2X+1 X+1 2X^2+X  1 2X^2+2X  1 X^2+2 2X^2+2 X^2  1 X^2+2X+1 2X^2+2X+2 X^2+X+1 2X+2 2X 2X^2+1  1  1  X  1 2X^2+2X+2 2X^2+X+1 2X+2  1 2X^2+2X+1  0  X  2 X+2 X^2+2X 2X X^2+1  1  X X^2 2X^2+X+2 X^2+X  1 X^2+2X 2X^2 2X+2 2X+1  1 X^2+X+2 2X^2+2  1 X^2+X+1 2X  1 2X^2+X+1 2X^2
 0  0  1  1 2X^2+2 2X^2+2 2X^2+2X  1 X^2+1 2X^2+2X 2X^2+1 2X^2+X+2 X+2  X  1 X+1  1 2X^2+2 2X^2 2X 2X^2+X+1 X^2+2X+2 2X 2X^2+2 X+2 X^2+1  1 2X^2+X+1 X+1 2X^2+X+2  1 X^2+2X+2  0 X^2 X+2 2X^2+2X X^2 X+1 X^2+2X  0 2X+1  1 2X+2 2X^2+X+2 X^2+2X  2 2X^2+X+2 X^2+X X^2+2X+1 2X^2+2X+1  0 2X^2+1 X^2+2 X^2 2X^2+1 2X^2+X+1 X^2+2X+1 2X^2+2X+2 2X+1 X^2+2X+1 X^2+2X+2 2X 2X^2  1  X 2X^2+X+1 2X X+2 X^2+2X+2 X+1 2X^2+2 2X+1 2X^2 2X^2+X  X 2X^2+X+1  1 X^2+1 X^2+X+2 X+2 2X^2+2X+1  X X^2+2X+2 X^2+2X+2  X 2X^2+2X 2X^2+2  1
 0  0  0 2X 2X^2 X^2  0 X^2  0 2X^2 2X^2 2X^2  0  0 2X^2  0 X^2 2X^2 2X^2 X^2 2X^2  0 2X^2 X^2+2X 2X  X 2X^2+2X 2X^2+X X^2+X 2X^2+X  X  X X^2+X 2X X^2+X X^2+2X  X 2X^2+2X 2X^2+2X  X 2X^2+2X 2X 2X 2X^2+2X X^2+2X 2X^2+2X X^2+X 2X^2+X 2X X^2+2X X^2+2X 2X^2+X 2X^2+X 2X^2+X X^2+X  0 2X^2+2X X^2+X  X  0 X^2+X 2X 2X 2X^2+2X 2X^2+2X X^2+2X X^2+X X^2+X 2X^2 X^2+X 2X^2+2X X^2 2X^2+2X X^2+X 2X^2 2X 2X^2+X 2X^2 2X^2+X 2X^2+2X X^2+X 2X^2+X 2X^2+X X^2+2X  0 X^2+2X X^2 2X^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+972x^165+954x^166+2718x^167+4536x^168+4284x^169+6804x^170+9818x^171+8784x^172+11682x^173+14532x^174+12996x^175+15786x^176+16764x^177+13428x^178+14148x^179+12590x^180+8118x^181+6732x^182+5334x^183+2304x^184+1800x^185+1224x^186+162x^187+108x^188+322x^189+150x^192+48x^195+30x^198+18x^201

The gray image is a linear code over GF(3) with n=792, k=11 and d=495.
This code was found by Heurico 1.16 in 211 seconds.