The generator matrix

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

generates a code of length 82 over Z3[X]/(X^2) who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+326x^156+468x^159+372x^162+326x^165+252x^168+192x^171+118x^174+88x^177+32x^180+2x^186+2x^189+4x^192+4x^198

The gray image is a linear code over GF(3) with n=246, k=7 and d=156.
This code was found by Heurico 1.16 in 3.84 seconds.