The generator matrix

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

generates a code of length 89 over Z3[X]/(X^2) who´s minimum homogenous weight is 160.

Homogenous weight enumerator: w(x)=1x^0+180x^160+102x^161+438x^162+852x^163+492x^164+952x^165+1542x^166+960x^167+1564x^168+2184x^169+1200x^170+2176x^171+2862x^172+1584x^173+2362x^174+3426x^175+1830x^176+2906x^177+3828x^178+2088x^179+2584x^180+3618x^181+1572x^182+2496x^183+3108x^184+1500x^185+2040x^186+2388x^187+930x^188+1078x^189+1362x^190+618x^191+750x^192+666x^193+186x^194+226x^195+168x^196+54x^197+60x^198+54x^199+20x^201+6x^202+6x^203+6x^204+6x^207+6x^210+8x^213+2x^216+2x^219

The gray image is a linear code over GF(3) with n=267, k=10 and d=160.
This code was found by Heurico 1.16 in 74 seconds.