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

generates a code of length 88 over Z3[X]/(X^2) who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+44x^150+142x^153+308x^156+434x^159+584x^162+814x^165+1402x^168+2134x^171+3292x^174+3398x^177+3008x^180+1744x^183+884x^186+472x^189+356x^192+240x^195+184x^198+116x^201+68x^204+30x^207+12x^210+8x^213+2x^216+2x^222+4x^225

The gray image is a linear code over GF(3) with n=264, k=9 and d=150.
This code was found by Heurico 1.16 in 17.2 seconds.