The generator matrix

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

generates a code of length 85 over Z3[X]/(X^3) who´s minimum homogenous weight is 159.

Homogenous weight enumerator: w(x)=1x^0+138x^159+396x^160+570x^161+1194x^162+1680x^163+2118x^164+2904x^165+3762x^166+3192x^167+4946x^168+5634x^169+5148x^170+5450x^171+5814x^172+3912x^173+4590x^174+3168x^175+1464x^176+1110x^177+684x^178+378x^179+162x^180+120x^181+84x^182+88x^183+48x^184+72x^185+44x^186+36x^187+42x^188+18x^189+36x^190+24x^191+6x^192+6x^193+6x^194+2x^195+2x^210

The gray image is a linear code over GF(3) with n=765, k=10 and d=477.
This code was found by Heurico 1.16 in 12.9 seconds.