The generator matrix

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

generates a code of length 89 over Z3[X]/(X^2) who´s minimum homogenous weight is 170.

Homogenous weight enumerator: w(x)=1x^0+234x^170+156x^171+270x^173+190x^174+276x^176+120x^177+222x^179+84x^180+216x^182+50x^183+78x^185+28x^186+60x^188+48x^189+54x^191+22x^192+24x^194+12x^195+24x^197+6x^198+6x^201+2x^210+2x^213+2x^216

The gray image is a linear code over GF(3) with n=267, k=7 and d=170.
This code was found by Heurico 1.16 in 99.4 seconds.