The generator matrix

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

generates a code of length 92 over Z3[X]/(X^2) who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+84x^165+6x^166+60x^167+194x^168+138x^169+216x^170+204x^171+444x^172+576x^173+186x^174+834x^175+822x^176+200x^177+822x^178+966x^179+200x^180+1260x^181+1332x^182+186x^183+1422x^184+1512x^185+134x^186+1452x^187+1374x^188+154x^189+1206x^190+972x^191+118x^192+750x^193+570x^194+130x^195+288x^196+240x^197+94x^198+114x^199+90x^200+80x^201+12x^202+6x^203+64x^204+12x^206+50x^207+38x^210+34x^213+14x^216+10x^219+12x^225

The gray image is a linear code over GF(3) with n=276, k=9 and d=165.
This code was found by Heurico 1.16 in 11 seconds.