The generator matrix

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

generates a code of length 85 over Z3[X]/(X^3) who´s minimum homogenous weight is 158.

Homogenous weight enumerator: w(x)=1x^0+1446x^158+2466x^159+4644x^160+7740x^161+9962x^162+14316x^163+20922x^164+21462x^165+28974x^166+38466x^167+36858x^168+44262x^169+51522x^170+45132x^171+45918x^172+45246x^173+31380x^174+27822x^175+22464x^176+12340x^177+7932x^178+5508x^179+2650x^180+1008x^181+474x^182+232x^183+48x^184+78x^185+62x^186+24x^187+24x^188+8x^189+12x^190+12x^191+8x^192+6x^194+6x^195+6x^197

The gray image is a linear code over GF(3) with n=765, k=12 and d=474.
This code was found by Heurico 1.16 in 706 seconds.