The generator matrix

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

generates a code of length 81 over Z3[X]/(X^2) who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+332x^150+752x^153+762x^156+1094x^159+956x^162+828x^165+818x^168+660x^171+192x^174+94x^177+22x^180+28x^186+12x^189+10x^195

The gray image is a linear code over GF(3) with n=243, k=8 and d=150.
This code was found by Heurico 1.16 in 69.3 seconds.