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

generates a code of length 98 over Z3[X]/(X^2) who´s minimum homogenous weight is 171.

Homogenous weight enumerator: w(x)=1x^0+114x^171+246x^174+334x^177+442x^180+48x^181+484x^183+192x^184+438x^186+666x^187+464x^189+1464x^190+468x^192+2442x^193+468x^195+3060x^196+436x^198+2886x^199+460x^201+1740x^202+414x^204+486x^205+422x^207+138x^208+378x^210+312x^213+238x^216+198x^219+120x^222+62x^225+32x^228+18x^231+6x^234+2x^237+2x^243+2x^258

The gray image is a linear code over GF(3) with n=294, k=9 and d=171.
This code was found by Heurico 1.16 in 20.2 seconds.