The generator matrix

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

generates a code of length 88 over Z3[X]/(X^3) who´s minimum homogenous weight is 169.

Homogenous weight enumerator: w(x)=1x^0+246x^169+624x^170+2088x^171+2052x^172+1746x^173+1950x^174+1578x^175+1218x^176+1578x^177+1146x^178+834x^179+1206x^180+906x^181+618x^182+754x^183+462x^184+300x^185+270x^186+90x^187+6x^188+8x^189+2x^192

The gray image is a linear code over GF(3) with n=792, k=9 and d=507.
This code was found by Heurico 1.16 in 1.36 seconds.