The generator matrix

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

generates a code of length 80 over Z3[X]/(X^2) who´s minimum homogenous weight is 147.

Homogenous weight enumerator: w(x)=1x^0+206x^147+610x^150+788x^153+846x^156+1006x^159+1022x^162+968x^165+592x^168+334x^171+100x^174+28x^177+14x^180+14x^183+4x^186+6x^189+6x^192+10x^195+2x^198+2x^201+2x^207

The gray image is a linear code over GF(3) with n=240, k=8 and d=147.
This code was found by Heurico 1.16 in 0.978 seconds.