The generator matrix

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

generates a code of length 52 over Z3[X]/(X^2) who´s minimum homogenous weight is 97.

Homogenous weight enumerator: w(x)=1x^0+204x^97+222x^98+44x^99+204x^100+198x^101+88x^102+186x^103+216x^104+44x^105+114x^106+156x^107+34x^108+96x^109+84x^110+20x^111+66x^112+72x^113+8x^114+78x^115+18x^116+24x^118+6x^119+2x^126+2x^132

The gray image is a linear code over GF(3) with n=156, k=7 and d=97.
This code was found by Heurico 1.16 in 0.725 seconds.