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

generates a code of length 95 over Z3[X]/(X^2) who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+98x^165+234x^168+358x^171+6x^173+412x^174+120x^176+434x^177+366x^179+492x^180+870x^182+464x^183+1770x^185+478x^186+2724x^188+434x^189+3048x^191+538x^192+2418x^194+452x^195+1284x^197+426x^198+450x^200+422x^201+66x^203+390x^204+308x^207+198x^210+178x^213+98x^216+72x^219+42x^222+16x^225+8x^228+6x^231+2x^246

The gray image is a linear code over GF(3) with n=285, k=9 and d=165.
This code was found by Heurico 1.16 in 19.4 seconds.