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  X  1  1  1  0 2X
 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+2 2X  1  1  1  0 2X  1  X
 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  1  X X+2 X+2  2  0 2X  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 2X  X  X 2X 2X 2X  0  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+192x^97+234x^98+50x^99+216x^100+210x^101+76x^102+168x^103+180x^104+50x^105+162x^106+150x^107+28x^108+66x^109+78x^110+32x^111+66x^112+108x^113+2x^114+78x^115+12x^116+24x^118+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 1.13 in 525 seconds.