The generator matrix

 1  0  1  1  1  1  1  X  1 2X  1  1  1  1  1 2X X^2  1  1  1  1 X^2+X  1  1  1 2X^2  1  1 2X  1  1  1  1  1  1 2X^2+2X 2X^2+X  1  1  1  1  1  X  1  1  1  1  1 X^2+2X  1 2X^2  1 2X^2+X  1  X  1  X  1  1  1  1  1  1  1  1  1  1  1 X^2+X  1  1  1  1  1  1  1  1  1  1 X^2+2X  1  1  1 2X^2+X  1  0  1  1
 0  1  1  2 2X^2 2X+1  2  1  2  1  0 2X^2+2X+1 2X^2+2X+1 2X^2 X+2  1  1 X+1  0 2X^2+X+2  0  1  1 2X^2+2X+2 X^2  1 X^2+2 2X+1  1 2X+1  2 2X^2+X  1 X+2 2X^2+X  1  1 2X^2+2X+2 X^2+1 2X^2+1 2X^2+2X 2X^2+X+2  1 X^2+2 2X^2+X+1 2X^2+2X 2X^2+1 X+2  1  2  1 X^2+X  1 2X  1 2X^2+2X+1  1 X^2+1 2X+2 2X^2 X^2+X  X 2X+1 2X^2+2 2X^2+X+2 X^2+X+1 2X^2+2X+2 2X^2+X+1  1 2X^2+X+1 2X^2+X+1 2X X^2+X+1 X+2 X^2+2X+1  1 2X 2X^2+1 X^2+2X+2  1 X^2  2 2X+2  1 X+2  1 2X^2 2X
 0  0 2X  0 2X^2  0  0 X^2 X^2  0 2X^2 2X^2 2X^2 2X^2+X 2X^2+X X^2+2X  X X^2+X X^2+2X X^2+2X 2X^2+X X^2+X X^2+2X  X 2X^2+2X  X X^2+2X  X X^2+2X 2X X^2+2X  X X^2+X 2X^2+X X^2+2X 2X^2+2X X^2  0 X^2+X 2X^2+2X X^2 2X 2X  X  0 2X^2+X  X 2X^2 2X^2+X 2X^2+X 2X^2+2X X^2  0 2X^2 2X^2+X X^2  X 2X^2 2X 2X^2+2X 2X^2+2X X^2+X  X X^2  0 2X^2+2X 2X X^2 2X^2+X 2X^2+2X  0 2X^2+X  X 2X  0 2X^2 2X 2X 2X^2 2X^2+X X^2 X^2+X X^2+2X X^2+X  0 2X 2X^2+X  0
 0  0  0  X 2X^2+X X^2+X X^2  X X^2+2X X^2+2X 2X  0 2X^2+2X 2X^2+2X X^2+2X X^2+2X 2X^2 X^2+2X  0 2X^2 X^2  X 2X^2+X 2X^2 X^2+X 2X X^2+X  0  0 X^2+2X 2X 2X^2+X X^2+X X^2+X X^2+2X 2X^2+X X^2+2X 2X^2+X 2X 2X^2 2X^2+X X^2+X 2X^2+2X X^2 2X  X X^2+X X^2  0 2X 2X^2+X X^2+2X  0 2X^2 X^2+2X  X  X 2X^2+X 2X^2+X X^2  X  X X^2+X X^2+X X^2+2X X^2+2X 2X^2 2X^2 X^2+X  0 2X^2+X 2X^2  0 2X^2+X 2X^2 2X 2X X^2+X  X 2X 2X 2X  0 X^2+2X 2X  X 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+122x^165+324x^166+828x^167+1100x^168+2100x^169+2160x^170+2614x^171+3420x^172+3792x^173+4000x^174+6096x^175+5448x^176+4568x^177+6204x^178+4848x^179+3352x^180+3300x^181+1692x^182+1010x^183+660x^184+486x^185+196x^186+108x^187+66x^188+160x^189+66x^190+78x^191+86x^192+48x^193+42x^194+26x^195+30x^196+8x^198+8x^201+2x^204

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 13.4 seconds.