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

generates a code of length 87 over Z3[X]/(X^2) who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+104x^150+294x^153+326x^156+6x^158+420x^159+96x^161+438x^162+414x^164+544x^165+1128x^167+486x^168+2220x^170+496x^171+2988x^173+516x^174+3108x^176+482x^177+2220x^179+500x^180+810x^182+420x^183+132x^185+404x^186+346x^189+300x^192+208x^195+138x^198+44x^201+54x^204+26x^207+8x^210+2x^213+2x^216+2x^228

The gray image is a linear code over GF(3) with n=261, k=9 and d=150.
This code was found by Heurico 1.16 in 17.3 seconds.