The generator matrix

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

generates a code of length 89 over Z3[X]/(X^2) who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+84x^153+212x^156+320x^159+30x^161+422x^162+108x^164+458x^165+306x^167+500x^168+834x^170+488x^171+1920x^173+534x^174+2754x^176+450x^177+2904x^179+466x^180+2442x^182+470x^183+1314x^185+448x^186+444x^188+386x^189+66x^191+394x^192+286x^195+262x^198+172x^201+90x^204+68x^207+26x^210+12x^213+10x^216+2x^228

The gray image is a linear code over GF(3) with n=267, k=9 and d=153.
This code was found by Heurico 1.16 in 17.8 seconds.