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  1  1  1  1  X  1  X  1  1  X  1  1  1  1  1  X  1  1  X  X  1  0  1  1  1  1  X  1  1  X  X  X  1
 0  X  0  0  0  0  0  0  0  0  X 2X 2X  X  X  X  0 2X  X 2X  X  0  X  0 2X  X  0 2X  X 2X 2X 2X  X  X  X  0 2X 2X  0  0  0  X 2X  X  0 2X  X 2X  X 2X 2X  0  X  0  X  0  X  X 2X  X  X 2X  X 2X  0  0  X 2X  0  0  0  X  0  0 2X  X 2X  0 2X  0
 0  0  X  0  0  0  0  X 2X 2X 2X  0  0 2X  X 2X  X  0  X  X  0 2X 2X  0  X  X 2X  0  X  0 2X 2X 2X  X 2X  0 2X 2X  X  X 2X 2X 2X 2X  0  0 2X 2X  0  X  0  X  X  X  X 2X  X  X  X  X 2X 2X  0 2X  X  X  0  0  X  0  X  0  X 2X  X  0  X  0  0  X
 0  0  0  X  0  0  X 2X  0 2X  0  0 2X  X  X 2X  0  X  0 2X  0 2X 2X  0 2X  0  X 2X 2X  X  X  X 2X  0  0 2X 2X  X 2X  0  X 2X 2X  X  X 2X  X 2X 2X  0  X 2X 2X  X 2X  X  X 2X  0  X  0  0  X 2X  X  X  X  X  X  X 2X  0  X  0  0  0  X 2X  0  X
 0  0  0  0  X  0 2X 2X  X  0 2X 2X 2X  0 2X 2X  0 2X  X  0 2X 2X  0  X 2X  0 2X  X  0  X  0  X  0 2X  0 2X  0 2X  X 2X  0  X 2X  X 2X  0 2X 2X  0  X  X 2X  0 2X 2X  0 2X 2X 2X  0  X  0  X  X  0  X 2X  0  X 2X 2X 2X  0 2X  0  0 2X  0  0 2X
 0  0  0  0  0  X 2X 2X 2X 2X 2X 2X  X 2X  X  X 2X  X 2X 2X 2X 2X  0 2X  0  X  0  0 2X  X 2X  0 2X  X  0  X  X  0  X  0  0  X 2X  X  X  X  X  0  X  X 2X  X  X 2X 2X  X  X  0  0  0  X  X  X  X 2X 2X 2X  X  0  0  X  X  0  X  0  X  X  X  0 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+52x^147+164x^150+264x^153+354x^156+388x^159+380x^162+302x^165+130x^168+46x^171+28x^174+14x^177+16x^180+14x^183+6x^186+18x^189+6x^192+2x^198+2x^207

The gray image is a linear code over GF(3) with n=240, k=7 and d=147.
This code was found by Heurico 1.16 in 0.241 seconds.