The generator matrix

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

generates a code of length 89 over Z3[X]/(X^2) who´s minimum homogenous weight is 159.

Homogenous weight enumerator: w(x)=1x^0+210x^159+84x^160+168x^161+754x^162+348x^163+438x^164+1602x^165+732x^166+906x^167+2472x^168+1134x^169+1236x^170+3136x^171+1332x^172+1326x^173+4126x^174+1740x^175+1974x^176+4534x^177+2022x^178+2052x^179+4938x^180+1956x^181+1908x^182+4358x^183+1632x^184+1452x^185+3154x^186+1182x^187+966x^188+1922x^189+672x^190+480x^191+902x^192+216x^193+150x^194+374x^195+60x^196+60x^197+154x^198+12x^199+6x^200+62x^201+42x^204+20x^207+16x^210+12x^213+10x^216+4x^219+2x^222

The gray image is a linear code over GF(3) with n=267, k=10 and d=159.
This code was found by Heurico 1.16 in 73.7 seconds.