The generator matrix

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

generates a code of length 93 over Z3[X]/(X^2) who´s minimum homogenous weight is 161.

Homogenous weight enumerator: w(x)=1x^0+6x^161+132x^162+18x^164+310x^165+42x^166+96x^167+442x^168+156x^169+264x^170+888x^171+396x^172+588x^173+1470x^174+696x^175+894x^176+2306x^177+1098x^178+1236x^179+3296x^180+1602x^181+1752x^182+4758x^183+2046x^184+1908x^185+5320x^186+2232x^187+1890x^188+4950x^189+1788x^190+1758x^191+3810x^192+1608x^193+1344x^194+2320x^195+870x^196+786x^197+1248x^198+420x^199+414x^200+654x^201+144x^202+132x^203+344x^204+18x^205+30x^206+202x^207+6x^208+6x^209+132x^210+110x^213+50x^216+44x^219+10x^222+6x^225+2x^231

The gray image is a linear code over GF(3) with n=279, k=10 and d=161.
This code was found by Heurico 1.16 in 90 seconds.