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

generates a code of length 52 over Z3[X]/(X^2) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+228x^96+442x^99+434x^102+312x^105+438x^108+204x^111+102x^114+4x^117+8x^120+6x^123+6x^126+2x^138

The gray image is a linear code over GF(3) with n=156, k=7 and d=96.
This code was found by Heurico 1.16 in 0.123 seconds.